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Simplifying 3(0.75m + 10) + 2.50m + -15 = 2(1.50m + 12) + m + -4 Reorder the terms: 3(10 + 0.75m) + 2.50m + -15 = 2(1.50m + 12) + m + -4 (10 * 3 + 0.75m * 3) + 2.50m + -15 = 2(1.50m + 12) + m + -4 (30 + 2.25m) + 2.50m + -15 = 2(1.50m + 12) + m + -4 Reorder the terms: 30 + -15 + 2.25m + 2.50m = 2(1.50m + 12) + m + -4 Combine like terms: 30 + -15 = 15 15 + 2.25m + 2.50m = 2(1.50m + 12) + m + -4 Combine like terms: 2.25m + 2.50m = 4.75m 15 + 4.75m = 2(1.50m + 12) + m + -4 Reorder the terms: 15 + 4.75m = 2(12 + 1.50m) + m + -4 15 + 4.75m = (12 * 2 + 1.50m * 2) + m + -4 15 + 4.75m = (24 + 3m) + m + -4 Reorder the terms: 15 + 4.75m = 24 + -4 + 3m + m Combine like terms: 24 + -4 = 20 15 + 4.75m = 20 + 3m + m Combine like terms: 3m + m = 4m 15 + 4.75m = 20 + 4m Solving 15 + 4.75m = 20 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 15 + 4.75m + -4m = 20 + 4m + -4m Combine like terms: 4.75m + -4m = 0.75m 15 + 0.75m = 20 + 4m + -4m Combine like terms: 4m + -4m = 0 15 + 0.75m = 20 + 0 15 + 0.75m = 20 Add '-15' to each side of the equation. 15 + -15 + 0.75m = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 0.75m = 20 + -15 0.75m = 20 + -15 Combine like terms: 20 + -15 = 5 0.75m = 5 Divide each side by '0.75'. m = 6.666666667 Simplifying m = 6.666666667
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