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Simplifying 23 = -2(24 + -1m) + 3(m + -3) 23 = (24 * -2 + -1m * -2) + 3(m + -3) 23 = (-48 + 2m) + 3(m + -3) Reorder the terms: 23 = -48 + 2m + 3(-3 + m) 23 = -48 + 2m + (-3 * 3 + m * 3) 23 = -48 + 2m + (-9 + 3m) Reorder the terms: 23 = -48 + -9 + 2m + 3m Combine like terms: -48 + -9 = -57 23 = -57 + 2m + 3m Combine like terms: 2m + 3m = 5m 23 = -57 + 5m Solving 23 = -57 + 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. 23 + -5m = -57 + 5m + -5m Combine like terms: 5m + -5m = 0 23 + -5m = -57 + 0 23 + -5m = -57 Add '-23' to each side of the equation. 23 + -23 + -5m = -57 + -23 Combine like terms: 23 + -23 = 0 0 + -5m = -57 + -23 -5m = -57 + -23 Combine like terms: -57 + -23 = -80 -5m = -80 Divide each side by '-5'. m = 16 Simplifying m = 16
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