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Simplifying -7(-2m + 6) = -12 + 8m Reorder the terms: -7(6 + -2m) = -12 + 8m (6 * -7 + -2m * -7) = -12 + 8m (-42 + 14m) = -12 + 8m Solving -42 + 14m = -12 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -42 + 14m + -8m = -12 + 8m + -8m Combine like terms: 14m + -8m = 6m -42 + 6m = -12 + 8m + -8m Combine like terms: 8m + -8m = 0 -42 + 6m = -12 + 0 -42 + 6m = -12 Add '42' to each side of the equation. -42 + 42 + 6m = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 6m = -12 + 42 6m = -12 + 42 Combine like terms: -12 + 42 = 30 6m = 30 Divide each side by '6'. m = 5 Simplifying m = 5
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