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Simplifying 8c + 1 = 7c + -2(7 + 6) Reorder the terms: 1 + 8c = 7c + -2(7 + 6) Combine like terms: 7 + 6 = 13 1 + 8c = 7c + -2(13) Multiply -2 * 13 1 + 8c = 7c + -26 Reorder the terms: 1 + 8c = -26 + 7c Solving 1 + 8c = -26 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 1 + 8c + -7c = -26 + 7c + -7c Combine like terms: 8c + -7c = 1c 1 + 1c = -26 + 7c + -7c Combine like terms: 7c + -7c = 0 1 + 1c = -26 + 0 1 + 1c = -26 Add '-1' to each side of the equation. 1 + -1 + 1c = -26 + -1 Combine like terms: 1 + -1 = 0 0 + 1c = -26 + -1 1c = -26 + -1 Combine like terms: -26 + -1 = -27 1c = -27 Divide each side by '1'. c = -27 Simplifying c = -27
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