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Simplifying 6(c + 4) = 0.4c + -18 Reorder the terms: 6(4 + c) = 0.4c + -18 (4 * 6 + c * 6) = 0.4c + -18 (24 + 6c) = 0.4c + -18 Reorder the terms: 24 + 6c = -18 + 0.4c Solving 24 + 6c = -18 + 0.4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.4c' to each side of the equation. 24 + 6c + -0.4c = -18 + 0.4c + -0.4c Combine like terms: 6c + -0.4c = 5.6c 24 + 5.6c = -18 + 0.4c + -0.4c Combine like terms: 0.4c + -0.4c = 0.0 24 + 5.6c = -18 + 0.0 24 + 5.6c = -18 Add '-24' to each side of the equation. 24 + -24 + 5.6c = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 5.6c = -18 + -24 5.6c = -18 + -24 Combine like terms: -18 + -24 = -42 5.6c = -42 Divide each side by '5.6'. c = -7.5 Simplifying c = -7.5
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