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Simplifying 0.02(0.05c + 0.3) = 0.03c + -0.07(0.3 + -0.1c) Reorder the terms: 0.02(0.3 + 0.05c) = 0.03c + -0.07(0.3 + -0.1c) (0.3 * 0.02 + 0.05c * 0.02) = 0.03c + -0.07(0.3 + -0.1c) (0.006 + 0.001c) = 0.03c + -0.07(0.3 + -0.1c) 0.006 + 0.001c = 0.03c + (0.3 * -0.07 + -0.1c * -0.07) 0.006 + 0.001c = 0.03c + (-0.021 + 0.007c) Reorder the terms: 0.006 + 0.001c = -0.021 + 0.03c + 0.007c Combine like terms: 0.03c + 0.007c = 0.037c 0.006 + 0.001c = -0.021 + 0.037c Solving 0.006 + 0.001c = -0.021 + 0.037c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.037c' to each side of the equation. 0.006 + 0.001c + -0.037c = -0.021 + 0.037c + -0.037c Combine like terms: 0.001c + -0.037c = -0.036c 0.006 + -0.036c = -0.021 + 0.037c + -0.037c Combine like terms: 0.037c + -0.037c = 0.000 0.006 + -0.036c = -0.021 + 0.000 0.006 + -0.036c = -0.021 Add '-0.006' to each side of the equation. 0.006 + -0.006 + -0.036c = -0.021 + -0.006 Combine like terms: 0.006 + -0.006 = 0.000 0.000 + -0.036c = -0.021 + -0.006 -0.036c = -0.021 + -0.006 Combine like terms: -0.021 + -0.006 = -0.027 -0.036c = -0.027 Divide each side by '-0.036'. c = 0.75 Simplifying c = 0.75
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