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Simplifying 5(c + -4) + 7 = 4 + c + -17 Reorder the terms: 5(-4 + c) + 7 = 4 + c + -17 (-4 * 5 + c * 5) + 7 = 4 + c + -17 (-20 + 5c) + 7 = 4 + c + -17 Reorder the terms: -20 + 7 + 5c = 4 + c + -17 Combine like terms: -20 + 7 = -13 -13 + 5c = 4 + c + -17 Reorder the terms: -13 + 5c = 4 + -17 + c Combine like terms: 4 + -17 = -13 -13 + 5c = -13 + c Add '13' to each side of the equation. -13 + 13 + 5c = -13 + 13 + c Combine like terms: -13 + 13 = 0 0 + 5c = -13 + 13 + c 5c = -13 + 13 + c Combine like terms: -13 + 13 = 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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