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Simplifying m + 0.5(3m + 4) + -5 = 0.6(2m + -1) + 0.83 Reorder the terms: m + 0.5(4 + 3m) + -5 = 0.6(2m + -1) + 0.83 m + (4 * 0.5 + 3m * 0.5) + -5 = 0.6(2m + -1) + 0.83 m + (2 + 1.5m) + -5 = 0.6(2m + -1) + 0.83 Reorder the terms: 2 + -5 + m + 1.5m = 0.6(2m + -1) + 0.83 Combine like terms: 2 + -5 = -3 -3 + m + 1.5m = 0.6(2m + -1) + 0.83 Combine like terms: m + 1.5m = 2.5m -3 + 2.5m = 0.6(2m + -1) + 0.83 Reorder the terms: -3 + 2.5m = 0.6(-1 + 2m) + 0.83 -3 + 2.5m = (-1 * 0.6 + 2m * 0.6) + 0.83 -3 + 2.5m = (-0.6 + 1.2m) + 0.83 Reorder the terms: -3 + 2.5m = -0.6 + 0.83 + 1.2m Combine like terms: -0.6 + 0.83 = 0.23 -3 + 2.5m = 0.23 + 1.2m Solving -3 + 2.5m = 0.23 + 1.2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.2m' to each side of the equation. -3 + 2.5m + -1.2m = 0.23 + 1.2m + -1.2m Combine like terms: 2.5m + -1.2m = 1.3m -3 + 1.3m = 0.23 + 1.2m + -1.2m Combine like terms: 1.2m + -1.2m = 0.0 -3 + 1.3m = 0.23 + 0.0 -3 + 1.3m = 0.23 Add '3' to each side of the equation. -3 + 3 + 1.3m = 0.23 + 3 Combine like terms: -3 + 3 = 0 0 + 1.3m = 0.23 + 3 1.3m = 0.23 + 3 Combine like terms: 0.23 + 3 = 3.23 1.3m = 3.23 Divide each side by '1.3'. m = 2.484615385 Simplifying m = 2.484615385
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