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Simplifying 4(1 + -7m) = -3(1 + 7m) (1 * 4 + -7m * 4) = -3(1 + 7m) (4 + -28m) = -3(1 + 7m) 4 + -28m = (1 * -3 + 7m * -3) 4 + -28m = (-3 + -21m) Solving 4 + -28m = -3 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. 4 + -28m + 21m = -3 + -21m + 21m Combine like terms: -28m + 21m = -7m 4 + -7m = -3 + -21m + 21m Combine like terms: -21m + 21m = 0 4 + -7m = -3 + 0 4 + -7m = -3 Add '-4' to each side of the equation. 4 + -4 + -7m = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7m = -3 + -4 -7m = -3 + -4 Combine like terms: -3 + -4 = -7 -7m = -7 Divide each side by '-7'. m = 1 Simplifying m = 1
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