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Simplifying 3(m + 7) = 0.02(5 + -1m) + 0.03 Reorder the terms: 3(7 + m) = 0.02(5 + -1m) + 0.03 (7 * 3 + m * 3) = 0.02(5 + -1m) + 0.03 (21 + 3m) = 0.02(5 + -1m) + 0.03 21 + 3m = (5 * 0.02 + -1m * 0.02) + 0.03 21 + 3m = (0.1 + -0.02m) + 0.03 Reorder the terms: 21 + 3m = 0.1 + 0.03 + -0.02m Combine like terms: 0.1 + 0.03 = 0.13 21 + 3m = 0.13 + -0.02m Solving 21 + 3m = 0.13 + -0.02m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.02m' to each side of the equation. 21 + 3m + 0.02m = 0.13 + -0.02m + 0.02m Combine like terms: 3m + 0.02m = 3.02m 21 + 3.02m = 0.13 + -0.02m + 0.02m Combine like terms: -0.02m + 0.02m = 0.00 21 + 3.02m = 0.13 + 0.00 21 + 3.02m = 0.13 Add '-21' to each side of the equation. 21 + -21 + 3.02m = 0.13 + -21 Combine like terms: 21 + -21 = 0 0 + 3.02m = 0.13 + -21 3.02m = 0.13 + -21 Combine like terms: 0.13 + -21 = -20.87 3.02m = -20.87 Divide each side by '3.02'. m = -6.910596026 Simplifying m = -6.910596026
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