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Simplifying 6.05 = 2.25 + 0.20(m + 1) Reorder the terms: 6.05 = 2.25 + 0.20(1 + m) 6.05 = 2.25 + (1 * 0.20 + m * 0.20) 6.05 = 2.25 + (0.2 + 0.20m) Combine like terms: 2.25 + 0.2 = 2.45 6.05 = 2.45 + 0.20m Solving 6.05 = 2.45 + 0.20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.20m' to each side of the equation. 6.05 + -0.20m = 2.45 + 0.20m + -0.20m Combine like terms: 0.20m + -0.20m = 0.00 6.05 + -0.20m = 2.45 + 0.00 6.05 + -0.20m = 2.45 Add '-6.05' to each side of the equation. 6.05 + -6.05 + -0.20m = 2.45 + -6.05 Combine like terms: 6.05 + -6.05 = 0.00 0.00 + -0.20m = 2.45 + -6.05 -0.20m = 2.45 + -6.05 Combine like terms: 2.45 + -6.05 = -3.6 -0.20m = -3.6 Divide each side by '-0.20'. m = 18 Simplifying m = 18
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