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Simplifying -5(m + -2) = 3(m + -2) Reorder the terms: -5(-2 + m) = 3(m + -2) (-2 * -5 + m * -5) = 3(m + -2) (10 + -5m) = 3(m + -2) Reorder the terms: 10 + -5m = 3(-2 + m) 10 + -5m = (-2 * 3 + m * 3) 10 + -5m = (-6 + 3m) Solving 10 + -5m = -6 + 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. 10 + -5m + -3m = -6 + 3m + -3m Combine like terms: -5m + -3m = -8m 10 + -8m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 10 + -8m = -6 + 0 10 + -8m = -6 Add '-10' to each side of the equation. 10 + -10 + -8m = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8m = -6 + -10 -8m = -6 + -10 Combine like terms: -6 + -10 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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