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Simplifying 5(c + -5) + 9 = 5 + c + -21 Reorder the terms: 5(-5 + c) + 9 = 5 + c + -21 (-5 * 5 + c * 5) + 9 = 5 + c + -21 (-25 + 5c) + 9 = 5 + c + -21 Reorder the terms: -25 + 9 + 5c = 5 + c + -21 Combine like terms: -25 + 9 = -16 -16 + 5c = 5 + c + -21 Reorder the terms: -16 + 5c = 5 + -21 + c Combine like terms: 5 + -21 = -16 -16 + 5c = -16 + c Add '16' to each side of the equation. -16 + 16 + 5c = -16 + 16 + c Combine like terms: -16 + 16 = 0 0 + 5c = -16 + 16 + c 5c = -16 + 16 + c Combine like terms: -16 + 16 = 0 5c = 0 + c 5c = c Solving 5c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 5c + -1c = c + -1c Combine like terms: 5c + -1c = 4c 4c = c + -1c Combine like terms: c + -1c = 0 4c = 0 Divide each side by '4'. c = 0 Simplifying c = 0
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