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Simplifying -6(1 + 4m) + -3(-4m + 5) = 3m + -8m (1 * -6 + 4m * -6) + -3(-4m + 5) = 3m + -8m (-6 + -24m) + -3(-4m + 5) = 3m + -8m Reorder the terms: -6 + -24m + -3(5 + -4m) = 3m + -8m -6 + -24m + (5 * -3 + -4m * -3) = 3m + -8m -6 + -24m + (-15 + 12m) = 3m + -8m Reorder the terms: -6 + -15 + -24m + 12m = 3m + -8m Combine like terms: -6 + -15 = -21 -21 + -24m + 12m = 3m + -8m Combine like terms: -24m + 12m = -12m -21 + -12m = 3m + -8m Combine like terms: 3m + -8m = -5m -21 + -12m = -5m Solving -21 + -12m = -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -21 + -12m + 5m = -5m + 5m Combine like terms: -12m + 5m = -7m -21 + -7m = -5m + 5m Combine like terms: -5m + 5m = 0 -21 + -7m = 0 Add '21' to each side of the equation. -21 + 21 + -7m = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -7m = 0 + 21 -7m = 0 + 21 Combine like terms: 0 + 21 = 21 -7m = 21 Divide each side by '-7'. m = -3 Simplifying m = -3
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