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Simplifying 8c + 1 = 7c + -2(7 + c) Reorder the terms: 1 + 8c = 7c + -2(7 + c) 1 + 8c = 7c + (7 * -2 + c * -2) 1 + 8c = 7c + (-14 + -2c) Reorder the terms: 1 + 8c = -14 + 7c + -2c Combine like terms: 7c + -2c = 5c 1 + 8c = -14 + 5c Solving 1 + 8c = -14 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 1 + 8c + -5c = -14 + 5c + -5c Combine like terms: 8c + -5c = 3c 1 + 3c = -14 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + 3c = -14 + 0 1 + 3c = -14 Add '-1' to each side of the equation. 1 + -1 + 3c = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = -14 + -1 3c = -14 + -1 Combine like terms: -14 + -1 = -15 3c = -15 Divide each side by '3'. c = -5 Simplifying c = -5
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