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Simplifying -7(-9m + -39) = -2(21 + -21m) Reorder the terms: -7(-39 + -9m) = -2(21 + -21m) (-39 * -7 + -9m * -7) = -2(21 + -21m) (273 + 63m) = -2(21 + -21m) 273 + 63m = (21 * -2 + -21m * -2) 273 + 63m = (-42 + 42m) Solving 273 + 63m = -42 + 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. 273 + 63m + -42m = -42 + 42m + -42m Combine like terms: 63m + -42m = 21m 273 + 21m = -42 + 42m + -42m Combine like terms: 42m + -42m = 0 273 + 21m = -42 + 0 273 + 21m = -42 Add '-273' to each side of the equation. 273 + -273 + 21m = -42 + -273 Combine like terms: 273 + -273 = 0 0 + 21m = -42 + -273 21m = -42 + -273 Combine like terms: -42 + -273 = -315 21m = -315 Divide each side by '21'. m = -15 Simplifying m = -15
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