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Solve the following equations for the given variables.

Mathematics

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Answers

5 parts
a

18\text{18}

b

51\text{51}

c

23\text{23}

d

96\text{96}

e

4\text{4}

Step-by-step solution

12 steps

Here are the solutions to the equations:

Part a· 2 steps

Solve for cc

  1. Subtract 10 from both sides of the equation.

    c+10−10=28−10c + 10 - 10 = 28 - 10
  2. Simplify.

    c=18c = 18

    The value of cc is 18\boxed{\text{18}}.

Part b

51\text{51}

Solve for bb

  1. Add 30 to both sides of the equation.

    b−30+30=21+30b - 30 + 30 = 21 + 30
  2. Simplify.

    b=51b = 51

    The value of bb is 51\boxed{\text{51}}.

Part c

23\text{23}

Solve for cc

  1. Divide both sides of the equation by 3.

    3c3=693\frac{3c}{3} = \frac{69}{3}
  2. Simplify.

    c=23c = 23

    The value of cc is 23\boxed{\text{23}}.

Part d

96\text{96}

Solve for dd

  1. Multiply both sides of the equation by 8.

    d8×8=12×8\frac{d}{8} \times 8 = 12 \times 8
  2. Simplify.

    d=96d = 96

    The value of dd is 96\boxed{\text{96}}.

Part e

4\text{4}

Solve for ee

  1. Subtract 14 from both sides of the equation.

    3e+14−14=26−143e + 14 - 14 = 26 - 14
  2. Simplify.

    3e=123e = 12
  3. Divide both sides by 3.

    3e3=123\frac{3e}{3} = \frac{12}{3}
  4. Simplify.

    e=4e = 4

    The value of ee is 4\boxed{\text{4}}.

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