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