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Simplifying 17 + -1c = 3(c + -5) Reorder the terms: 17 + -1c = 3(-5 + c) 17 + -1c = (-5 * 3 + c * 3) 17 + -1c = (-15 + 3c) Solving 17 + -1c = -15 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 17 + -1c + -3c = -15 + 3c + -3c Combine like terms: -1c + -3c = -4c 17 + -4c = -15 + 3c + -3c Combine like terms: 3c + -3c = 0 17 + -4c = -15 + 0 17 + -4c = -15 Add '-17' to each side of the equation. 17 + -17 + -4c = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -4c = -15 + -17 -4c = -15 + -17 Combine like terms: -15 + -17 = -32 -4c = -32 Divide each side by '-4'. c = 8 Simplifying c = 8
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