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Simplifying 0.03(m + 7) = 0.02(5 + -1M) + 0.03 Reorder the terms: 0.03(7 + m) = 0.02(5 + -1M) + 0.03 (7 * 0.03 + m * 0.03) = 0.02(5 + -1M) + 0.03 (0.21 + 0.03m) = 0.02(5 + -1M) + 0.03 0.21 + 0.03m = (5 * 0.02 + -1M * 0.02) + 0.03 0.21 + 0.03m = (0.1 + -0.02M) + 0.03 Reorder the terms: 0.21 + 0.03m = 0.1 + 0.03 + -0.02M Combine like terms: 0.1 + 0.03 = 0.13 0.21 + 0.03m = 0.13 + -0.02M Solving 0.21 + 0.03m = 0.13 + -0.02M Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.21' to each side of the equation. 0.21 + -0.21 + 0.03m = 0.13 + -0.21 + -0.02M Combine like terms: 0.21 + -0.21 = 0.00 0.00 + 0.03m = 0.13 + -0.21 + -0.02M 0.03m = 0.13 + -0.21 + -0.02M Combine like terms: 0.13 + -0.21 = -0.08 0.03m = -0.08 + -0.02M Divide each side by '0.03'. m = -2.666666667 + -0.6666666667M Simplifying m = -2.666666667 + -0.6666666667M
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