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Simplifying 56 + 10m = 12(5m + -12) Reorder the terms: 56 + 10m = 12(-12 + 5m) 56 + 10m = (-12 * 12 + 5m * 12) 56 + 10m = (-144 + 60m) Solving 56 + 10m = -144 + 60m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-60m' to each side of the equation. 56 + 10m + -60m = -144 + 60m + -60m Combine like terms: 10m + -60m = -50m 56 + -50m = -144 + 60m + -60m Combine like terms: 60m + -60m = 0 56 + -50m = -144 + 0 56 + -50m = -144 Add '-56' to each side of the equation. 56 + -56 + -50m = -144 + -56 Combine like terms: 56 + -56 = 0 0 + -50m = -144 + -56 -50m = -144 + -56 Combine like terms: -144 + -56 = -200 -50m = -200 Divide each side by '-50'. m = 4 Simplifying m = 4
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