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Simplifying 15 = -3(23 + -1m) + 3(m + -4) 15 = (23 * -3 + -1m * -3) + 3(m + -4) 15 = (-69 + 3m) + 3(m + -4) Reorder the terms: 15 = -69 + 3m + 3(-4 + m) 15 = -69 + 3m + (-4 * 3 + m * 3) 15 = -69 + 3m + (-12 + 3m) Reorder the terms: 15 = -69 + -12 + 3m + 3m Combine like terms: -69 + -12 = -81 15 = -81 + 3m + 3m Combine like terms: 3m + 3m = 6m 15 = -81 + 6m Solving 15 = -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. 15 + -6m = -81 + 6m + -6m Combine like terms: 6m + -6m = 0 15 + -6m = -81 + 0 15 + -6m = -81 Add '-15' to each side of the equation. 15 + -15 + -6m = -81 + -15 Combine like terms: 15 + -15 = 0 0 + -6m = -81 + -15 -6m = -81 + -15 Combine like terms: -81 + -15 = -96 -6m = -96 Divide each side by '-6'. m = 16 Simplifying m = 16
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