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Simplifying -7(1 + -4m) = 1(2m + -3) (1 * -7 + -4m * -7) = 1(2m + -3) (-7 + 28m) = 1(2m + -3) Reorder the terms: -7 + 28m = 1(-3 + 2m) -7 + 28m = (-3 * 1 + 2m * 1) -7 + 28m = (-3 + 2m) Solving -7 + 28m = -3 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -7 + 28m + -2m = -3 + 2m + -2m Combine like terms: 28m + -2m = 26m -7 + 26m = -3 + 2m + -2m Combine like terms: 2m + -2m = 0 -7 + 26m = -3 + 0 -7 + 26m = -3 Add '7' to each side of the equation. -7 + 7 + 26m = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 26m = -3 + 7 26m = -3 + 7 Combine like terms: -3 + 7 = 4 26m = 4 Divide each side by '26'. m = 0.1538461538 Simplifying m = 0.1538461538
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