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Simplifying 3 = -3(23 + -1m) + 2(m + -4) 3 = (23 * -3 + -1m * -3) + 2(m + -4) 3 = (-69 + 3m) + 2(m + -4) Reorder the terms: 3 = -69 + 3m + 2(-4 + m) 3 = -69 + 3m + (-4 * 2 + m * 2) 3 = -69 + 3m + (-8 + 2m) Reorder the terms: 3 = -69 + -8 + 3m + 2m Combine like terms: -69 + -8 = -77 3 = -77 + 3m + 2m Combine like terms: 3m + 2m = 5m 3 = -77 + 5m Solving 3 = -77 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 3 + -5m = -77 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + -5m = -77 + 0 3 + -5m = -77 Add '-3' to each side of the equation. 3 + -3 + -5m = -77 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = -77 + -3 -5m = -77 + -3 Combine like terms: -77 + -3 = -80 -5m = -80 Divide each side by '-5'. m = 16 Simplifying m = 16
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