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Simplifying 10(4m + -3) = 5(5m + 2) Reorder the terms: 10(-3 + 4m) = 5(5m + 2) (-3 * 10 + 4m * 10) = 5(5m + 2) (-30 + 40m) = 5(5m + 2) Reorder the terms: -30 + 40m = 5(2 + 5m) -30 + 40m = (2 * 5 + 5m * 5) -30 + 40m = (10 + 25m) Solving -30 + 40m = 10 + 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. -30 + 40m + -25m = 10 + 25m + -25m Combine like terms: 40m + -25m = 15m -30 + 15m = 10 + 25m + -25m Combine like terms: 25m + -25m = 0 -30 + 15m = 10 + 0 -30 + 15m = 10 Add '30' to each side of the equation. -30 + 30 + 15m = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 15m = 10 + 30 15m = 10 + 30 Combine like terms: 10 + 30 = 40 15m = 40 Divide each side by '15'. m = 2.666666667 Simplifying m = 2.666666667
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