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Simplifying 4[15 + 10(m + -1)] = 80 + 25m Reorder the terms: 4[15 + 10(-1 + m)] = 80 + 25m 4[15 + (-1 * 10 + m * 10)] = 80 + 25m 4[15 + (-10 + 10m)] = 80 + 25m Combine like terms: 15 + -10 = 5 4[5 + 10m] = 80 + 25m [5 * 4 + 10m * 4] = 80 + 25m [20 + 40m] = 80 + 25m Solving 20 + 40m = 80 + 25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25m' to each side of the equation. 20 + 40m + -25m = 80 + 25m + -25m Combine like terms: 40m + -25m = 15m 20 + 15m = 80 + 25m + -25m Combine like terms: 25m + -25m = 0 20 + 15m = 80 + 0 20 + 15m = 80 Add '-20' to each side of the equation. 20 + -20 + 15m = 80 + -20 Combine like terms: 20 + -20 = 0 0 + 15m = 80 + -20 15m = 80 + -20 Combine like terms: 80 + -20 = 60 15m = 60 Divide each side by '15'. m = 4 Simplifying m = 4
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