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Simplifying 0.03(m + 7) = 0.002(5 + -1m) + 0.03 Reorder the terms: 0.03(7 + m) = 0.002(5 + -1m) + 0.03 (7 * 0.03 + m * 0.03) = 0.002(5 + -1m) + 0.03 (0.21 + 0.03m) = 0.002(5 + -1m) + 0.03 0.21 + 0.03m = (5 * 0.002 + -1m * 0.002) + 0.03 0.21 + 0.03m = (0.01 + -0.002m) + 0.03 Reorder the terms: 0.21 + 0.03m = 0.01 + 0.03 + -0.002m Combine like terms: 0.01 + 0.03 = 0.04 0.21 + 0.03m = 0.04 + -0.002m Solving 0.21 + 0.03m = 0.04 + -0.002m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.002m' to each side of the equation. 0.21 + 0.03m + 0.002m = 0.04 + -0.002m + 0.002m Combine like terms: 0.03m + 0.002m = 0.032m 0.21 + 0.032m = 0.04 + -0.002m + 0.002m Combine like terms: -0.002m + 0.002m = 0.000 0.21 + 0.032m = 0.04 + 0.000 0.21 + 0.032m = 0.04 Add '-0.21' to each side of the equation. 0.21 + -0.21 + 0.032m = 0.04 + -0.21 Combine like terms: 0.21 + -0.21 = 0.00 0.00 + 0.032m = 0.04 + -0.21 0.032m = 0.04 + -0.21 Combine like terms: 0.04 + -0.21 = -0.17 0.032m = -0.17 Divide each side by '0.032'. m = -5.3125 Simplifying m = -5.3125
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