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Simplifying 4.5m + -5 = 3.1(m + 2.6) Reorder the terms: -5 + 4.5m = 3.1(m + 2.6) Reorder the terms: -5 + 4.5m = 3.1(2.6 + m) -5 + 4.5m = (2.6 * 3.1 + m * 3.1) -5 + 4.5m = (8.06 + 3.1m) Solving -5 + 4.5m = 8.06 + 3.1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.1m' to each side of the equation. -5 + 4.5m + -3.1m = 8.06 + 3.1m + -3.1m Combine like terms: 4.5m + -3.1m = 1.4m -5 + 1.4m = 8.06 + 3.1m + -3.1m Combine like terms: 3.1m + -3.1m = 0.0 -5 + 1.4m = 8.06 + 0.0 -5 + 1.4m = 8.06 Add '5' to each side of the equation. -5 + 5 + 1.4m = 8.06 + 5 Combine like terms: -5 + 5 = 0 0 + 1.4m = 8.06 + 5 1.4m = 8.06 + 5 Combine like terms: 8.06 + 5 = 13.06 1.4m = 13.06 Divide each side by '1.4'. m = 9.328571429 Simplifying m = 9.328571429
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