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Simplifying 7(-4m + 2) = 34 + -8m Reorder the terms: 7(2 + -4m) = 34 + -8m (2 * 7 + -4m * 7) = 34 + -8m (14 + -28m) = 34 + -8m Solving 14 + -28m = 34 + -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 + -28m + 8m = 34 + -8m + 8m Combine like terms: -28m + 8m = -20m 14 + -20m = 34 + -8m + 8m Combine like terms: -8m + 8m = 0 14 + -20m = 34 + 0 14 + -20m = 34 Add '-14' to each side of the equation. 14 + -14 + -20m = 34 + -14 Combine like terms: 14 + -14 = 0 0 + -20m = 34 + -14 -20m = 34 + -14 Combine like terms: 34 + -14 = 20 -20m = 20 Divide each side by '-20'. m = -1 Simplifying m = -1
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