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Simplifying 7 + -9(3m + 15) = 12m + 18 + 10 Reorder the terms: 7 + -9(15 + 3m) = 12m + 18 + 10 7 + (15 * -9 + 3m * -9) = 12m + 18 + 10 7 + (-135 + -27m) = 12m + 18 + 10 Combine like terms: 7 + -135 = -128 -128 + -27m = 12m + 18 + 10 Reorder the terms: -128 + -27m = 18 + 10 + 12m Combine like terms: 18 + 10 = 28 -128 + -27m = 28 + 12m Solving -128 + -27m = 28 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -128 + -27m + -12m = 28 + 12m + -12m Combine like terms: -27m + -12m = -39m -128 + -39m = 28 + 12m + -12m Combine like terms: 12m + -12m = 0 -128 + -39m = 28 + 0 -128 + -39m = 28 Add '128' to each side of the equation. -128 + 128 + -39m = 28 + 128 Combine like terms: -128 + 128 = 0 0 + -39m = 28 + 128 -39m = 28 + 128 Combine like terms: 28 + 128 = 156 -39m = 156 Divide each side by '-39'. m = -4 Simplifying m = -4
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