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Simplifying 5(-3 + 8m) + -7m = -6(1 + -4m) (-3 * 5 + 8m * 5) + -7m = -6(1 + -4m) (-15 + 40m) + -7m = -6(1 + -4m) Combine like terms: 40m + -7m = 33m -15 + 33m = -6(1 + -4m) -15 + 33m = (1 * -6 + -4m * -6) -15 + 33m = (-6 + 24m) Solving -15 + 33m = -6 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -15 + 33m + -24m = -6 + 24m + -24m Combine like terms: 33m + -24m = 9m -15 + 9m = -6 + 24m + -24m Combine like terms: 24m + -24m = 0 -15 + 9m = -6 + 0 -15 + 9m = -6 Add '15' to each side of the equation. -15 + 15 + 9m = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 9m = -6 + 15 9m = -6 + 15 Combine like terms: -6 + 15 = 9 9m = 9 Divide each side by '9'. m = 1 Simplifying m = 1
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