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Simplifying -5(m + 1) = 3m + -13 Reorder the terms: -5(1 + m) = 3m + -13 (1 * -5 + m * -5) = 3m + -13 (-5 + -5m) = 3m + -13 Reorder the terms: -5 + -5m = -13 + 3m Solving -5 + -5m = -13 + 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. -5 + -5m + -3m = -13 + 3m + -3m Combine like terms: -5m + -3m = -8m -5 + -8m = -13 + 3m + -3m Combine like terms: 3m + -3m = 0 -5 + -8m = -13 + 0 -5 + -8m = -13 Add '5' to each side of the equation. -5 + 5 + -8m = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -8m = -13 + 5 -8m = -13 + 5 Combine like terms: -13 + 5 = -8 -8m = -8 Divide each side by '-8'. m = 1 Simplifying m = 1
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