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Simplifying 6(5 + c) = 5(c + -5) (5 * 6 + c * 6) = 5(c + -5) (30 + 6c) = 5(c + -5) Reorder the terms: 30 + 6c = 5(-5 + c) 30 + 6c = (-5 * 5 + c * 5) 30 + 6c = (-25 + 5c) Solving 30 + 6c = -25 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 30 + 6c + -5c = -25 + 5c + -5c Combine like terms: 6c + -5c = 1c 30 + 1c = -25 + 5c + -5c Combine like terms: 5c + -5c = 0 30 + 1c = -25 + 0 30 + 1c = -25 Add '-30' to each side of the equation. 30 + -30 + 1c = -25 + -30 Combine like terms: 30 + -30 = 0 0 + 1c = -25 + -30 1c = -25 + -30 Combine like terms: -25 + -30 = -55 1c = -55 Divide each side by '1'. c = -55 Simplifying c = -55
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