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Simplifying 0.3(4 + 2c) = 0.1(c + 2) (4 * 0.3 + 2c * 0.3) = 0.1(c + 2) (1.2 + 0.6c) = 0.1(c + 2) Reorder the terms: 1.2 + 0.6c = 0.1(2 + c) 1.2 + 0.6c = (2 * 0.1 + c * 0.1) 1.2 + 0.6c = (0.2 + 0.1c) Solving 1.2 + 0.6c = 0.2 + 0.1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.1c' to each side of the equation. 1.2 + 0.6c + -0.1c = 0.2 + 0.1c + -0.1c Combine like terms: 0.6c + -0.1c = 0.5c 1.2 + 0.5c = 0.2 + 0.1c + -0.1c Combine like terms: 0.1c + -0.1c = 0.0 1.2 + 0.5c = 0.2 + 0.0 1.2 + 0.5c = 0.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.5c = 0.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.5c = 0.2 + -1.2 0.5c = 0.2 + -1.2 Combine like terms: 0.2 + -1.2 = -1 0.5c = -1 Divide each side by '0.5'. c = -2 Simplifying c = -2
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