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Simplifying 39 = -3(23 + -1m) + 3(m + -2) 39 = (23 * -3 + -1m * -3) + 3(m + -2) 39 = (-69 + 3m) + 3(m + -2) Reorder the terms: 39 = -69 + 3m + 3(-2 + m) 39 = -69 + 3m + (-2 * 3 + m * 3) 39 = -69 + 3m + (-6 + 3m) Reorder the terms: 39 = -69 + -6 + 3m + 3m Combine like terms: -69 + -6 = -75 39 = -75 + 3m + 3m Combine like terms: 3m + 3m = 6m 39 = -75 + 6m Solving 39 = -75 + 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. 39 + -6m = -75 + 6m + -6m Combine like terms: 6m + -6m = 0 39 + -6m = -75 + 0 39 + -6m = -75 Add '-39' to each side of the equation. 39 + -39 + -6m = -75 + -39 Combine like terms: 39 + -39 = 0 0 + -6m = -75 + -39 -6m = -75 + -39 Combine like terms: -75 + -39 = -114 -6m = -114 Divide each side by '-6'. m = 19 Simplifying m = 19
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