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Simplifying 5(m + -3) = 3(2m + -5) Reorder the terms: 5(-3 + m) = 3(2m + -5) (-3 * 5 + m * 5) = 3(2m + -5) (-15 + 5m) = 3(2m + -5) Reorder the terms: -15 + 5m = 3(-5 + 2m) -15 + 5m = (-5 * 3 + 2m * 3) -15 + 5m = (-15 + 6m) Add '15' to each side of the equation. -15 + 15 + 5m = -15 + 15 + 6m Combine like terms: -15 + 15 = 0 0 + 5m = -15 + 15 + 6m 5m = -15 + 15 + 6m Combine like terms: -15 + 15 = 0 5m = 0 + 6m 5m = 6m Solving 5m = 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 5m + -6m = 6m + -6m Combine like terms: 5m + -6m = -1m -1m = 6m + -6m Combine like terms: 6m + -6m = 0 -1m = 0 Divide each side by '-1'. m = 0 Simplifying m = 0
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