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Simplifying 4(2m + 2) + 5(3m + -5) = 144 Reorder the terms: 4(2 + 2m) + 5(3m + -5) = 144 (2 * 4 + 2m * 4) + 5(3m + -5) = 144 (8 + 8m) + 5(3m + -5) = 144 Reorder the terms: 8 + 8m + 5(-5 + 3m) = 144 8 + 8m + (-5 * 5 + 3m * 5) = 144 8 + 8m + (-25 + 15m) = 144 Reorder the terms: 8 + -25 + 8m + 15m = 144 Combine like terms: 8 + -25 = -17 -17 + 8m + 15m = 144 Combine like terms: 8m + 15m = 23m -17 + 23m = 144 Solving -17 + 23m = 144 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 23m = 144 + 17 Combine like terms: -17 + 17 = 0 0 + 23m = 144 + 17 23m = 144 + 17 Combine like terms: 144 + 17 = 161 23m = 161 Divide each side by '23'. m = 7 Simplifying m = 7
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