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Simplifying -1(4m + -7) = -1(8m + -3) Reorder the terms: -1(-7 + 4m) = -1(8m + -3) (-7 * -1 + 4m * -1) = -1(8m + -3) (7 + -4m) = -1(8m + -3) Reorder the terms: 7 + -4m = -1(-3 + 8m) 7 + -4m = (-3 * -1 + 8m * -1) 7 + -4m = (3 + -8m) Solving 7 + -4m = 3 + -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. 7 + -4m + 8m = 3 + -8m + 8m Combine like terms: -4m + 8m = 4m 7 + 4m = 3 + -8m + 8m Combine like terms: -8m + 8m = 0 7 + 4m = 3 + 0 7 + 4m = 3 Add '-7' to each side of the equation. 7 + -7 + 4m = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 4m = 3 + -7 4m = 3 + -7 Combine like terms: 3 + -7 = -4 4m = -4 Divide each side by '4'. m = -1 Simplifying m = -1
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