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Simplifying 46 = 1 + -5(-1m + -4) Reorder the terms: 46 = 1 + -5(-4 + -1m) 46 = 1 + (-4 * -5 + -1m * -5) 46 = 1 + (20 + 5m) Combine like terms: 1 + 20 = 21 46 = 21 + 5m Solving 46 = 21 + 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. 46 + -5m = 21 + 5m + -5m Combine like terms: 5m + -5m = 0 46 + -5m = 21 + 0 46 + -5m = 21 Add '-46' to each side of the equation. 46 + -46 + -5m = 21 + -46 Combine like terms: 46 + -46 = 0 0 + -5m = 21 + -46 -5m = 21 + -46 Combine like terms: 21 + -46 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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