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Simplifying -6m + 6(2m + -6) = 10 + -4(6 + -1m) Reorder the terms: -6m + 6(-6 + 2m) = 10 + -4(6 + -1m) -6m + (-6 * 6 + 2m * 6) = 10 + -4(6 + -1m) -6m + (-36 + 12m) = 10 + -4(6 + -1m) Reorder the terms: -36 + -6m + 12m = 10 + -4(6 + -1m) Combine like terms: -6m + 12m = 6m -36 + 6m = 10 + -4(6 + -1m) -36 + 6m = 10 + (6 * -4 + -1m * -4) -36 + 6m = 10 + (-24 + 4m) Combine like terms: 10 + -24 = -14 -36 + 6m = -14 + 4m Solving -36 + 6m = -14 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -36 + 6m + -4m = -14 + 4m + -4m Combine like terms: 6m + -4m = 2m -36 + 2m = -14 + 4m + -4m Combine like terms: 4m + -4m = 0 -36 + 2m = -14 + 0 -36 + 2m = -14 Add '36' to each side of the equation. -36 + 36 + 2m = -14 + 36 Combine like terms: -36 + 36 = 0 0 + 2m = -14 + 36 2m = -14 + 36 Combine like terms: -14 + 36 = 22 2m = 22 Divide each side by '2'. m = 11 Simplifying m = 11
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