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Simplifying -3(12m + 9) = -21 + 2(m + 35) Reorder the terms: -3(9 + 12m) = -21 + 2(m + 35) (9 * -3 + 12m * -3) = -21 + 2(m + 35) (-27 + -36m) = -21 + 2(m + 35) Reorder the terms: -27 + -36m = -21 + 2(35 + m) -27 + -36m = -21 + (35 * 2 + m * 2) -27 + -36m = -21 + (70 + 2m) Combine like terms: -21 + 70 = 49 -27 + -36m = 49 + 2m Solving -27 + -36m = 49 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -27 + -36m + -2m = 49 + 2m + -2m Combine like terms: -36m + -2m = -38m -27 + -38m = 49 + 2m + -2m Combine like terms: 2m + -2m = 0 -27 + -38m = 49 + 0 -27 + -38m = 49 Add '27' to each side of the equation. -27 + 27 + -38m = 49 + 27 Combine like terms: -27 + 27 = 0 0 + -38m = 49 + 27 -38m = 49 + 27 Combine like terms: 49 + 27 = 76 -38m = 76 Divide each side by '-38'. m = -2 Simplifying m = -2
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