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Simplifying -2m + -8 = 4(3m + 7) + 20 Reorder the terms: -8 + -2m = 4(3m + 7) + 20 Reorder the terms: -8 + -2m = 4(7 + 3m) + 20 -8 + -2m = (7 * 4 + 3m * 4) + 20 -8 + -2m = (28 + 12m) + 20 Reorder the terms: -8 + -2m = 28 + 20 + 12m Combine like terms: 28 + 20 = 48 -8 + -2m = 48 + 12m Solving -8 + -2m = 48 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -8 + -2m + -12m = 48 + 12m + -12m Combine like terms: -2m + -12m = -14m -8 + -14m = 48 + 12m + -12m Combine like terms: 12m + -12m = 0 -8 + -14m = 48 + 0 -8 + -14m = 48 Add '8' to each side of the equation. -8 + 8 + -14m = 48 + 8 Combine like terms: -8 + 8 = 0 0 + -14m = 48 + 8 -14m = 48 + 8 Combine like terms: 48 + 8 = 56 -14m = 56 Divide each side by '-14'. m = -4 Simplifying m = -4
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