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Calculate and simplify the following expressions involving integers: a) -8 + 6, b) -12 - 20, c) 20 - (-30), d) -9 + (-12), e) 3 - (-8), f) 14 - 28, g) -14 + 26, h) -100 - 200. And simplify: a) 15 + (-
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Step-by-step solution
29 stepsHere are the solutions to the problems:
1. Calculate the following:
a)
Perform the addition.
The result is .
b)
Perform the subtraction.
The result is .
c)
Change the subtraction of a negative number to addition.
Perform the addition.
The result is .
d)
Simplify the expression by removing the parentheses.
Perform the subtraction.
The result is .
e)
Change the subtraction of a negative number to addition.
Perform the addition.
The result is .
f)
Perform the subtraction.
The result is .
g)
Perform the addition.
The result is .
h)
Perform the subtraction.
The result is .
2. Simplify the following:
a)
Simplify the expression by removing the parentheses.
Perform the subtraction.
The simplified expression is .
b)
Perform the subtraction.
The simplified expression is .
c)
Change the subtraction of a negative number to addition.
Perform the addition.
The simplified expression is .
d)
Simplify the expression by removing the parentheses.
Perform the subtraction.
The simplified expression is .
3. Write down the value of that makes each of the following true:
a)
Calculate the left side of the equation.
The value of is .
b)
Isolate by adding 10 to both sides of the equation.
Perform the addition.
The value of is .
c)
Isolate by subtracting 10 from both sides of the equation.
Perform the subtraction.
The value of is .
d)
Calculate the left side of the equation.
Isolate by adding 8 to both sides of the equation.
The value of is .
e)
Calculate the left side of the equation.
Isolate by adding 15 to both sides of the equation.
The value of is .
f)
Isolate by adding 7 to both sides of the equation.
Multiply both sides by -1 to find .
The value of is .
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