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Simplify the expression 4(3x - 2y) - 3(x + 5y).

Mathematics

ScanSolve AI Answer

Answer

9x - 23y

Step-by-step solution

2 steps

  1. Distribute the numbers into the parentheses.

    4(3x−2y)−3(x+5y)=(4×3x)−(4×2y)−(3×x)−(3×5y)4(3x - 2y) - 3(x + 5y) = (4 \times 3x) - (4 \times 2y) - (3 \times x) - (3 \times 5y) =12x−8y−3x−15y= 12x - 8y - 3x - 15y

  2. Combine like terms (terms with xx and terms with yy).

    =(12x−3x)+(−8y−15y)= (12x - 3x) + (-8y - 15y) =9x−23y= 9x - 23y

    The final answer is 9x−23y9x - 23y.

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