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Simplifying 27 = -3(23 + -1m) + 3(m + -4) 27 = (23 * -3 + -1m * -3) + 3(m + -4) 27 = (-69 + 3m) + 3(m + -4) Reorder the terms: 27 = -69 + 3m + 3(-4 + m) 27 = -69 + 3m + (-4 * 3 + m * 3) 27 = -69 + 3m + (-12 + 3m) Reorder the terms: 27 = -69 + -12 + 3m + 3m Combine like terms: -69 + -12 = -81 27 = -81 + 3m + 3m Combine like terms: 3m + 3m = 6m 27 = -81 + 6m Solving 27 = -81 + 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. 27 + -6m = -81 + 6m + -6m Combine like terms: 6m + -6m = 0 27 + -6m = -81 + 0 27 + -6m = -81 Add '-27' to each side of the equation. 27 + -27 + -6m = -81 + -27 Combine like terms: 27 + -27 = 0 0 + -6m = -81 + -27 -6m = -81 + -27 Combine like terms: -81 + -27 = -108 -6m = -108 Divide each side by '-6'. m = 18 Simplifying m = 18
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