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Simplifying 4(c + -5) + 6 = 3 + c + -17 Reorder the terms: 4(-5 + c) + 6 = 3 + c + -17 (-5 * 4 + c * 4) + 6 = 3 + c + -17 (-20 + 4c) + 6 = 3 + c + -17 Reorder the terms: -20 + 6 + 4c = 3 + c + -17 Combine like terms: -20 + 6 = -14 -14 + 4c = 3 + c + -17 Reorder the terms: -14 + 4c = 3 + -17 + c Combine like terms: 3 + -17 = -14 -14 + 4c = -14 + c Add '14' to each side of the equation. -14 + 14 + 4c = -14 + 14 + c Combine like terms: -14 + 14 = 0 0 + 4c = -14 + 14 + c 4c = -14 + 14 + c Combine like terms: -14 + 14 = 0 4c = 0 + c 4c = c Solving 4c = 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. 4c + -1c = c + -1c Combine like terms: 4c + -1c = 3c 3c = c + -1c Combine like terms: c + -1c = 0 3c = 0 Divide each side by '3'. c = 0 Simplifying c = 0
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