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Simplifying -6(-2m + 2) + m = 6(m + 6) + 4m Reorder the terms: -6(2 + -2m) + m = 6(m + 6) + 4m (2 * -6 + -2m * -6) + m = 6(m + 6) + 4m (-12 + 12m) + m = 6(m + 6) + 4m Combine like terms: 12m + m = 13m -12 + 13m = 6(m + 6) + 4m Reorder the terms: -12 + 13m = 6(6 + m) + 4m -12 + 13m = (6 * 6 + m * 6) + 4m -12 + 13m = (36 + 6m) + 4m Combine like terms: 6m + 4m = 10m -12 + 13m = 36 + 10m Solving -12 + 13m = 36 + 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. -12 + 13m + -10m = 36 + 10m + -10m Combine like terms: 13m + -10m = 3m -12 + 3m = 36 + 10m + -10m Combine like terms: 10m + -10m = 0 -12 + 3m = 36 + 0 -12 + 3m = 36 Add '12' to each side of the equation. -12 + 12 + 3m = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 3m = 36 + 12 3m = 36 + 12 Combine like terms: 36 + 12 = 48 3m = 48 Divide each side by '3'. m = 16 Simplifying m = 16
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