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Simplify the following algebraic expressions:
Mathematics
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18 stepsHere are the simplified algebraic expressions:
Combine the terms with .
$$ (16+9)x - 6 = 25x - 6 $$ The simplified expression is $\boxed{25x - 6}$.2.
Group like terms.
$$ (5d + 9d) + (2 + 6) $$Combine like terms.
$$ (5+9)d + (2+6) = 14d + 8 $$ The simplified expression is $\boxed{14d + 8}$.3.
Group like terms.
$$ (-8c + 5c) + (2 - 4) $$Combine like terms.
$$ (-8+5)c + (2-4) = -3c - 2 $$ The simplified expression is $\boxed{-3c - 2}$.4.
Combine the terms with .
$$ (5-9)m - 2 = -4m - 2 $$ The simplified expression is $\boxed{-4m - 2}$.5.
Group like terms.
$$ 7g + (8 - 5) $$Combine like terms.
$$ 7g + 3 $$ The simplified expression is $\boxed{7g + 3}$.6.
Group like terms.
$$ (10y + 8y) + (-9 - 15) $$Combine like terms.
$$ (10+8)y + (-9-15) = 18y - 24 $$ The simplified expression is $\boxed{18y - 24}$.7.
Group like terms.
$$ 18w + (13 - 14) $$Combine like terms.
$$ 18w - 1 $$ The simplified expression is $\boxed{18w - 1}$.8.
Group like terms.
$$ (9b - 17b) + (3 - 19) $$Combine like terms.
$$ (9-17)b + (3-19) = -8b - 16 $$ The simplified expression is $\boxed{-8b - 16}$.9.
Group like terms.
$$ (2x + 9x) + (-4 + 10) $$Combine like terms.
$$ (2+9)x + (-4+10) = 11x + 6 $$ The simplified expression is $\boxed{11x + 6}$.10.
Group like terms.
$$ (11z + 19z) - 15 $$Combine like terms.
$$ (11+19)z - 15 = 30z - 15 $$ The simplified expression is $\boxed{30z - 15}$.
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