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Simplifying 3(m + -23) = 8 + -2(m + -4) Reorder the terms: 3(-23 + m) = 8 + -2(m + -4) (-23 * 3 + m * 3) = 8 + -2(m + -4) (-69 + 3m) = 8 + -2(m + -4) Reorder the terms: -69 + 3m = 8 + -2(-4 + m) -69 + 3m = 8 + (-4 * -2 + m * -2) -69 + 3m = 8 + (8 + -2m) Combine like terms: 8 + 8 = 16 -69 + 3m = 16 + -2m Solving -69 + 3m = 16 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -69 + 3m + 2m = 16 + -2m + 2m Combine like terms: 3m + 2m = 5m -69 + 5m = 16 + -2m + 2m Combine like terms: -2m + 2m = 0 -69 + 5m = 16 + 0 -69 + 5m = 16 Add '69' to each side of the equation. -69 + 69 + 5m = 16 + 69 Combine like terms: -69 + 69 = 0 0 + 5m = 16 + 69 5m = 16 + 69 Combine like terms: 16 + 69 = 85 5m = 85 Divide each side by '5'. m = 17 Simplifying m = 17
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