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Simplifying 3(5 + -1m) + -3(5 + m) = 3(m + 1) (5 * 3 + -1m * 3) + -3(5 + m) = 3(m + 1) (15 + -3m) + -3(5 + m) = 3(m + 1) 15 + -3m + (5 * -3 + m * -3) = 3(m + 1) 15 + -3m + (-15 + -3m) = 3(m + 1) Reorder the terms: 15 + -15 + -3m + -3m = 3(m + 1) Combine like terms: 15 + -15 = 0 0 + -3m + -3m = 3(m + 1) -3m + -3m = 3(m + 1) Combine like terms: -3m + -3m = -6m -6m = 3(m + 1) Reorder the terms: -6m = 3(1 + m) -6m = (1 * 3 + m * 3) -6m = (3 + 3m) Solving -6m = 3 + 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. -6m + -3m = 3 + 3m + -3m Combine like terms: -6m + -3m = -9m -9m = 3 + 3m + -3m Combine like terms: 3m + -3m = 0 -9m = 3 + 0 -9m = 3 Divide each side by '-9'. m = -0.3333333333 Simplifying m = -0.3333333333
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