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Simplifying 8c + 1 = 7c + -1(7 + c) Reorder the terms: 1 + 8c = 7c + -1(7 + c) 1 + 8c = 7c + (7 * -1 + c * -1) 1 + 8c = 7c + (-7 + -1c) Reorder the terms: 1 + 8c = -7 + 7c + -1c Combine like terms: 7c + -1c = 6c 1 + 8c = -7 + 6c Solving 1 + 8c = -7 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 1 + 8c + -6c = -7 + 6c + -6c Combine like terms: 8c + -6c = 2c 1 + 2c = -7 + 6c + -6c Combine like terms: 6c + -6c = 0 1 + 2c = -7 + 0 1 + 2c = -7 Add '-1' to each side of the equation. 1 + -1 + 2c = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = -7 + -1 2c = -7 + -1 Combine like terms: -7 + -1 = -8 2c = -8 Divide each side by '2'. c = -4 Simplifying c = -4
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