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Simplifying -6(-10m + 6) = 6(12 + 7m) Reorder the terms: -6(6 + -10m) = 6(12 + 7m) (6 * -6 + -10m * -6) = 6(12 + 7m) (-36 + 60m) = 6(12 + 7m) -36 + 60m = (12 * 6 + 7m * 6) -36 + 60m = (72 + 42m) Solving -36 + 60m = 72 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. -36 + 60m + -42m = 72 + 42m + -42m Combine like terms: 60m + -42m = 18m -36 + 18m = 72 + 42m + -42m Combine like terms: 42m + -42m = 0 -36 + 18m = 72 + 0 -36 + 18m = 72 Add '36' to each side of the equation. -36 + 36 + 18m = 72 + 36 Combine like terms: -36 + 36 = 0 0 + 18m = 72 + 36 18m = 72 + 36 Combine like terms: 72 + 36 = 108 18m = 108 Divide each side by '18'. m = 6 Simplifying m = 6
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