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Simplifying 4(m + -30) + -4m = 6(2m + 6) Reorder the terms: 4(-30 + m) + -4m = 6(2m + 6) (-30 * 4 + m * 4) + -4m = 6(2m + 6) (-120 + 4m) + -4m = 6(2m + 6) Combine like terms: 4m + -4m = 0 -120 + 0 = 6(2m + 6) -120 = 6(2m + 6) Reorder the terms: -120 = 6(6 + 2m) -120 = (6 * 6 + 2m * 6) -120 = (36 + 12m) Solving -120 = 36 + 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. -120 + -12m = 36 + 12m + -12m Combine like terms: 12m + -12m = 0 -120 + -12m = 36 + 0 -120 + -12m = 36 Add '120' to each side of the equation. -120 + 120 + -12m = 36 + 120 Combine like terms: -120 + 120 = 0 0 + -12m = 36 + 120 -12m = 36 + 120 Combine like terms: 36 + 120 = 156 -12m = 156 Divide each side by '-12'. m = -13 Simplifying m = -13
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