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Simplifying 7(c + -2) + 9 = 7 + c + -12 Reorder the terms: 7(-2 + c) + 9 = 7 + c + -12 (-2 * 7 + c * 7) + 9 = 7 + c + -12 (-14 + 7c) + 9 = 7 + c + -12 Reorder the terms: -14 + 9 + 7c = 7 + c + -12 Combine like terms: -14 + 9 = -5 -5 + 7c = 7 + c + -12 Reorder the terms: -5 + 7c = 7 + -12 + c Combine like terms: 7 + -12 = -5 -5 + 7c = -5 + c Add '5' to each side of the equation. -5 + 5 + 7c = -5 + 5 + c Combine like terms: -5 + 5 = 0 0 + 7c = -5 + 5 + c 7c = -5 + 5 + c Combine like terms: -5 + 5 = 0 7c = 0 + c 7c = c Solving 7c = 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. 7c + -1c = c + -1c Combine like terms: 7c + -1c = 6c 6c = c + -1c Combine like terms: c + -1c = 0 6c = 0 Divide each side by '6'. c = 0 Simplifying c = 0
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