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Simplifying 6(2m + -8) + -4m + 2 = 6 + -1(6m + -12) Reorder the terms: 6(-8 + 2m) + -4m + 2 = 6 + -1(6m + -12) (-8 * 6 + 2m * 6) + -4m + 2 = 6 + -1(6m + -12) (-48 + 12m) + -4m + 2 = 6 + -1(6m + -12) Reorder the terms: -48 + 2 + 12m + -4m = 6 + -1(6m + -12) Combine like terms: -48 + 2 = -46 -46 + 12m + -4m = 6 + -1(6m + -12) Combine like terms: 12m + -4m = 8m -46 + 8m = 6 + -1(6m + -12) Reorder the terms: -46 + 8m = 6 + -1(-12 + 6m) -46 + 8m = 6 + (-12 * -1 + 6m * -1) -46 + 8m = 6 + (12 + -6m) Combine like terms: 6 + 12 = 18 -46 + 8m = 18 + -6m Solving -46 + 8m = 18 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -46 + 8m + 6m = 18 + -6m + 6m Combine like terms: 8m + 6m = 14m -46 + 14m = 18 + -6m + 6m Combine like terms: -6m + 6m = 0 -46 + 14m = 18 + 0 -46 + 14m = 18 Add '46' to each side of the equation. -46 + 46 + 14m = 18 + 46 Combine like terms: -46 + 46 = 0 0 + 14m = 18 + 46 14m = 18 + 46 Combine like terms: 18 + 46 = 64 14m = 64 Divide each side by '14'. m = 4.571428571 Simplifying m = 4.571428571
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