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Simplifying 5(c + -4) + 9 = 5 + c + -16 Reorder the terms: 5(-4 + c) + 9 = 5 + c + -16 (-4 * 5 + c * 5) + 9 = 5 + c + -16 (-20 + 5c) + 9 = 5 + c + -16 Reorder the terms: -20 + 9 + 5c = 5 + c + -16 Combine like terms: -20 + 9 = -11 -11 + 5c = 5 + c + -16 Reorder the terms: -11 + 5c = 5 + -16 + c Combine like terms: 5 + -16 = -11 -11 + 5c = -11 + c Add '11' to each side of the equation. -11 + 11 + 5c = -11 + 11 + c Combine like terms: -11 + 11 = 0 0 + 5c = -11 + 11 + c 5c = -11 + 11 + c Combine like terms: -11 + 11 = 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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