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Simplifying 35 = -2(23 + -1m) + 3(m + -3) 35 = (23 * -2 + -1m * -2) + 3(m + -3) 35 = (-46 + 2m) + 3(m + -3) Reorder the terms: 35 = -46 + 2m + 3(-3 + m) 35 = -46 + 2m + (-3 * 3 + m * 3) 35 = -46 + 2m + (-9 + 3m) Reorder the terms: 35 = -46 + -9 + 2m + 3m Combine like terms: -46 + -9 = -55 35 = -55 + 2m + 3m Combine like terms: 2m + 3m = 5m 35 = -55 + 5m Solving 35 = -55 + 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. 35 + -5m = -55 + 5m + -5m Combine like terms: 5m + -5m = 0 35 + -5m = -55 + 0 35 + -5m = -55 Add '-35' to each side of the equation. 35 + -35 + -5m = -55 + -35 Combine like terms: 35 + -35 = 0 0 + -5m = -55 + -35 -5m = -55 + -35 Combine like terms: -55 + -35 = -90 -5m = -90 Divide each side by '-5'. m = 18 Simplifying m = 18
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