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Simplifying 6(c + -3) + 3 = 2 + c + -17 Reorder the terms: 6(-3 + c) + 3 = 2 + c + -17 (-3 * 6 + c * 6) + 3 = 2 + c + -17 (-18 + 6c) + 3 = 2 + c + -17 Reorder the terms: -18 + 3 + 6c = 2 + c + -17 Combine like terms: -18 + 3 = -15 -15 + 6c = 2 + c + -17 Reorder the terms: -15 + 6c = 2 + -17 + c Combine like terms: 2 + -17 = -15 -15 + 6c = -15 + c Add '15' to each side of the equation. -15 + 15 + 6c = -15 + 15 + c Combine like terms: -15 + 15 = 0 0 + 6c = -15 + 15 + c 6c = -15 + 15 + c Combine like terms: -15 + 15 = 0 6c = 0 + c 6c = c Solving 6c = 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. 6c + -1c = c + -1c Combine like terms: 6c + -1c = 5c 5c = c + -1c Combine like terms: c + -1c = 0 5c = 0 Divide each side by '5'. c = 0 Simplifying c = 0
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