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Simplifying 40 + -5(m + -1) = -2m + -10 + -4m Reorder the terms: 40 + -5(-1 + m) = -2m + -10 + -4m 40 + (-1 * -5 + m * -5) = -2m + -10 + -4m 40 + (5 + -5m) = -2m + -10 + -4m Combine like terms: 40 + 5 = 45 45 + -5m = -2m + -10 + -4m Reorder the terms: 45 + -5m = -10 + -2m + -4m Combine like terms: -2m + -4m = -6m 45 + -5m = -10 + -6m Solving 45 + -5m = -10 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 45 + -5m + 6m = -10 + -6m + 6m Combine like terms: -5m + 6m = 1m 45 + 1m = -10 + -6m + 6m Combine like terms: -6m + 6m = 0 45 + 1m = -10 + 0 45 + 1m = -10 Add '-45' to each side of the equation. 45 + -45 + 1m = -10 + -45 Combine like terms: 45 + -45 = 0 0 + 1m = -10 + -45 1m = -10 + -45 Combine like terms: -10 + -45 = -55 1m = -55 Divide each side by '1'. m = -55 Simplifying m = -55
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