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Simplifying 2(6m + 4) + 6 = 4(2m + -2) + -14 Reorder the terms: 2(4 + 6m) + 6 = 4(2m + -2) + -14 (4 * 2 + 6m * 2) + 6 = 4(2m + -2) + -14 (8 + 12m) + 6 = 4(2m + -2) + -14 Reorder the terms: 8 + 6 + 12m = 4(2m + -2) + -14 Combine like terms: 8 + 6 = 14 14 + 12m = 4(2m + -2) + -14 Reorder the terms: 14 + 12m = 4(-2 + 2m) + -14 14 + 12m = (-2 * 4 + 2m * 4) + -14 14 + 12m = (-8 + 8m) + -14 Reorder the terms: 14 + 12m = -8 + -14 + 8m Combine like terms: -8 + -14 = -22 14 + 12m = -22 + 8m Solving 14 + 12m = -22 + 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. 14 + 12m + -8m = -22 + 8m + -8m Combine like terms: 12m + -8m = 4m 14 + 4m = -22 + 8m + -8m Combine like terms: 8m + -8m = 0 14 + 4m = -22 + 0 14 + 4m = -22 Add '-14' to each side of the equation. 14 + -14 + 4m = -22 + -14 Combine like terms: 14 + -14 = 0 0 + 4m = -22 + -14 4m = -22 + -14 Combine like terms: -22 + -14 = -36 4m = -36 Divide each side by '4'. m = -9 Simplifying m = -9
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