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Simplifying 6(c + -3) + 7 = 3 + c + -14 Reorder the terms: 6(-3 + c) + 7 = 3 + c + -14 (-3 * 6 + c * 6) + 7 = 3 + c + -14 (-18 + 6c) + 7 = 3 + c + -14 Reorder the terms: -18 + 7 + 6c = 3 + c + -14 Combine like terms: -18 + 7 = -11 -11 + 6c = 3 + c + -14 Reorder the terms: -11 + 6c = 3 + -14 + c Combine like terms: 3 + -14 = -11 -11 + 6c = -11 + c Add '11' to each side of the equation. -11 + 11 + 6c = -11 + 11 + c Combine like terms: -11 + 11 = 0 0 + 6c = -11 + 11 + c 6c = -11 + 11 + c Combine like terms: -11 + 11 = 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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