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Simplifying -6(m + -9) = -5(m + -6) Reorder the terms: -6(-9 + m) = -5(m + -6) (-9 * -6 + m * -6) = -5(m + -6) (54 + -6m) = -5(m + -6) Reorder the terms: 54 + -6m = -5(-6 + m) 54 + -6m = (-6 * -5 + m * -5) 54 + -6m = (30 + -5m) Solving 54 + -6m = 30 + -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. 54 + -6m + 5m = 30 + -5m + 5m Combine like terms: -6m + 5m = -1m 54 + -1m = 30 + -5m + 5m Combine like terms: -5m + 5m = 0 54 + -1m = 30 + 0 54 + -1m = 30 Add '-54' to each side of the equation. 54 + -54 + -1m = 30 + -54 Combine like terms: 54 + -54 = 0 0 + -1m = 30 + -54 -1m = 30 + -54 Combine like terms: 30 + -54 = -24 -1m = -24 Divide each side by '-1'. m = 24 Simplifying m = 24
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