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Simplifying 0.2(3c + 15) = 3(0.8c + -8) Reorder the terms: 0.2(15 + 3c) = 3(0.8c + -8) (15 * 0.2 + 3c * 0.2) = 3(0.8c + -8) (3 + 0.6c) = 3(0.8c + -8) Reorder the terms: 3 + 0.6c = 3(-8 + 0.8c) 3 + 0.6c = (-8 * 3 + 0.8c * 3) 3 + 0.6c = (-24 + 2.4c) Solving 3 + 0.6c = -24 + 2.4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2.4c' to each side of the equation. 3 + 0.6c + -2.4c = -24 + 2.4c + -2.4c Combine like terms: 0.6c + -2.4c = -1.8c 3 + -1.8c = -24 + 2.4c + -2.4c Combine like terms: 2.4c + -2.4c = 0.0 3 + -1.8c = -24 + 0.0 3 + -1.8c = -24 Add '-3' to each side of the equation. 3 + -3 + -1.8c = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -1.8c = -24 + -3 -1.8c = -24 + -3 Combine like terms: -24 + -3 = -27 -1.8c = -27 Divide each side by '-1.8'. c = 15 Simplifying c = 15
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