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Simplifying 4(5 + -7m) = -6m + -7(4m + -2) (5 * 4 + -7m * 4) = -6m + -7(4m + -2) (20 + -28m) = -6m + -7(4m + -2) Reorder the terms: 20 + -28m = -6m + -7(-2 + 4m) 20 + -28m = -6m + (-2 * -7 + 4m * -7) 20 + -28m = -6m + (14 + -28m) Reorder the terms: 20 + -28m = 14 + -6m + -28m Combine like terms: -6m + -28m = -34m 20 + -28m = 14 + -34m Solving 20 + -28m = 14 + -34m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '34m' to each side of the equation. 20 + -28m + 34m = 14 + -34m + 34m Combine like terms: -28m + 34m = 6m 20 + 6m = 14 + -34m + 34m Combine like terms: -34m + 34m = 0 20 + 6m = 14 + 0 20 + 6m = 14 Add '-20' to each side of the equation. 20 + -20 + 6m = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 6m = 14 + -20 6m = 14 + -20 Combine like terms: 14 + -20 = -6 6m = -6 Divide each side by '6'. m = -1 Simplifying m = -1
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