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Simplifying 0.3(m + 7) = 0.002(5 + -1m) + 0.03 Reorder the terms: 0.3(7 + m) = 0.002(5 + -1m) + 0.03 (7 * 0.3 + m * 0.3) = 0.002(5 + -1m) + 0.03 (2.1 + 0.3m) = 0.002(5 + -1m) + 0.03 2.1 + 0.3m = (5 * 0.002 + -1m * 0.002) + 0.03 2.1 + 0.3m = (0.01 + -0.002m) + 0.03 Reorder the terms: 2.1 + 0.3m = 0.01 + 0.03 + -0.002m Combine like terms: 0.01 + 0.03 = 0.04 2.1 + 0.3m = 0.04 + -0.002m Solving 2.1 + 0.3m = 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. 2.1 + 0.3m + 0.002m = 0.04 + -0.002m + 0.002m Combine like terms: 0.3m + 0.002m = 0.302m 2.1 + 0.302m = 0.04 + -0.002m + 0.002m Combine like terms: -0.002m + 0.002m = 0.000 2.1 + 0.302m = 0.04 + 0.000 2.1 + 0.302m = 0.04 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 0.302m = 0.04 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 0.302m = 0.04 + -2.1 0.302m = 0.04 + -2.1 Combine like terms: 0.04 + -2.1 = -2.06 0.302m = -2.06 Divide each side by '0.302'. m = -6.821192053 Simplifying m = -6.821192053
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