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Simplifying 30(m + -4) = 10(m + 2) Reorder the terms: 30(-4 + m) = 10(m + 2) (-4 * 30 + m * 30) = 10(m + 2) (-120 + 30m) = 10(m + 2) Reorder the terms: -120 + 30m = 10(2 + m) -120 + 30m = (2 * 10 + m * 10) -120 + 30m = (20 + 10m) Solving -120 + 30m = 20 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -120 + 30m + -10m = 20 + 10m + -10m Combine like terms: 30m + -10m = 20m -120 + 20m = 20 + 10m + -10m Combine like terms: 10m + -10m = 0 -120 + 20m = 20 + 0 -120 + 20m = 20 Add '120' to each side of the equation. -120 + 120 + 20m = 20 + 120 Combine like terms: -120 + 120 = 0 0 + 20m = 20 + 120 20m = 20 + 120 Combine like terms: 20 + 120 = 140 20m = 140 Divide each side by '20'. m = 7 Simplifying m = 7
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