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Simplifying 7.65 = 2.25 + 0.200(m + -1) Reorder the terms: 7.65 = 2.25 + 0.200(-1 + m) 7.65 = 2.25 + (-1 * 0.200 + m * 0.200) 7.65 = 2.25 + (-0.2 + 0.200m) Combine like terms: 2.25 + -0.2 = 2.05 7.65 = 2.05 + 0.200m Solving 7.65 = 2.05 + 0.200m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.200m' to each side of the equation. 7.65 + -0.200m = 2.05 + 0.200m + -0.200m Combine like terms: 0.200m + -0.200m = 0.000 7.65 + -0.200m = 2.05 + 0.000 7.65 + -0.200m = 2.05 Add '-7.65' to each side of the equation. 7.65 + -7.65 + -0.200m = 2.05 + -7.65 Combine like terms: 7.65 + -7.65 = 0.00 0.00 + -0.200m = 2.05 + -7.65 -0.200m = 2.05 + -7.65 Combine like terms: 2.05 + -7.65 = -5.6 -0.200m = -5.6 Divide each side by '-0.200'. m = 28 Simplifying m = 28
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