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Simplifying 5(5 + c) = 4(c + -6) (5 * 5 + c * 5) = 4(c + -6) (25 + 5c) = 4(c + -6) Reorder the terms: 25 + 5c = 4(-6 + c) 25 + 5c = (-6 * 4 + c * 4) 25 + 5c = (-24 + 4c) Solving 25 + 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. 25 + 5c + -4c = -24 + 4c + -4c Combine like terms: 5c + -4c = 1c 25 + 1c = -24 + 4c + -4c Combine like terms: 4c + -4c = 0 25 + 1c = -24 + 0 25 + 1c = -24 Add '-25' to each side of the equation. 25 + -25 + 1c = -24 + -25 Combine like terms: 25 + -25 = 0 0 + 1c = -24 + -25 1c = -24 + -25 Combine like terms: -24 + -25 = -49 1c = -49 Divide each side by '1'. c = -49 Simplifying c = -49
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