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Simplifying 5(1 + c) = 4(c + -6) (1 * 5 + c * 5) = 4(c + -6) (5 + 5c) = 4(c + -6) Reorder the terms: 5 + 5c = 4(-6 + c) 5 + 5c = (-6 * 4 + c * 4) 5 + 5c = (-24 + 4c) Solving 5 + 5c = -24 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 5 + 5c + -4c = -24 + 4c + -4c Combine like terms: 5c + -4c = 1c 5 + 1c = -24 + 4c + -4c Combine like terms: 4c + -4c = 0 5 + 1c = -24 + 0 5 + 1c = -24 Add '-5' to each side of the equation. 5 + -5 + 1c = -24 + -5 Combine like terms: 5 + -5 = 0 0 + 1c = -24 + -5 1c = -24 + -5 Combine like terms: -24 + -5 = -29 1c = -29 Divide each side by '1'. c = -29 Simplifying c = -29
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