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Simplifying 3(m + -2) = -5(6m + -12) Reorder the terms: 3(-2 + m) = -5(6m + -12) (-2 * 3 + m * 3) = -5(6m + -12) (-6 + 3m) = -5(6m + -12) Reorder the terms: -6 + 3m = -5(-12 + 6m) -6 + 3m = (-12 * -5 + 6m * -5) -6 + 3m = (60 + -30m) Solving -6 + 3m = 60 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. -6 + 3m + 30m = 60 + -30m + 30m Combine like terms: 3m + 30m = 33m -6 + 33m = 60 + -30m + 30m Combine like terms: -30m + 30m = 0 -6 + 33m = 60 + 0 -6 + 33m = 60 Add '6' to each side of the equation. -6 + 6 + 33m = 60 + 6 Combine like terms: -6 + 6 = 0 0 + 33m = 60 + 6 33m = 60 + 6 Combine like terms: 60 + 6 = 66 33m = 66 Divide each side by '33'. m = 2 Simplifying m = 2
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