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Simplifying 10(6m + 2) + -4m = 4m + 6(m + -12) Reorder the terms: 10(2 + 6m) + -4m = 4m + 6(m + -12) (2 * 10 + 6m * 10) + -4m = 4m + 6(m + -12) (20 + 60m) + -4m = 4m + 6(m + -12) Combine like terms: 60m + -4m = 56m 20 + 56m = 4m + 6(m + -12) Reorder the terms: 20 + 56m = 4m + 6(-12 + m) 20 + 56m = 4m + (-12 * 6 + m * 6) 20 + 56m = 4m + (-72 + 6m) Reorder the terms: 20 + 56m = -72 + 4m + 6m Combine like terms: 4m + 6m = 10m 20 + 56m = -72 + 10m Solving 20 + 56m = -72 + 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. 20 + 56m + -10m = -72 + 10m + -10m Combine like terms: 56m + -10m = 46m 20 + 46m = -72 + 10m + -10m Combine like terms: 10m + -10m = 0 20 + 46m = -72 + 0 20 + 46m = -72 Add '-20' to each side of the equation. 20 + -20 + 46m = -72 + -20 Combine like terms: 20 + -20 = 0 0 + 46m = -72 + -20 46m = -72 + -20 Combine like terms: -72 + -20 = -92 46m = -92 Divide each side by '46'. m = -2 Simplifying m = -2
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