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Simplifying 6(m + -5) = 4(m + -12) Reorder the terms: 6(-5 + m) = 4(m + -12) (-5 * 6 + m * 6) = 4(m + -12) (-30 + 6m) = 4(m + -12) Reorder the terms: -30 + 6m = 4(-12 + m) -30 + 6m = (-12 * 4 + m * 4) -30 + 6m = (-48 + 4m) Solving -30 + 6m = -48 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -30 + 6m + -4m = -48 + 4m + -4m Combine like terms: 6m + -4m = 2m -30 + 2m = -48 + 4m + -4m Combine like terms: 4m + -4m = 0 -30 + 2m = -48 + 0 -30 + 2m = -48 Add '30' to each side of the equation. -30 + 30 + 2m = -48 + 30 Combine like terms: -30 + 30 = 0 0 + 2m = -48 + 30 2m = -48 + 30 Combine like terms: -48 + 30 = -18 2m = -18 Divide each side by '2'. m = -9 Simplifying m = -9
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