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Simplifying 8c + 1 = 7c + -5(7 + c) Reorder the terms: 1 + 8c = 7c + -5(7 + c) 1 + 8c = 7c + (7 * -5 + c * -5) 1 + 8c = 7c + (-35 + -5c) Reorder the terms: 1 + 8c = -35 + 7c + -5c Combine like terms: 7c + -5c = 2c 1 + 8c = -35 + 2c Solving 1 + 8c = -35 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 1 + 8c + -2c = -35 + 2c + -2c Combine like terms: 8c + -2c = 6c 1 + 6c = -35 + 2c + -2c Combine like terms: 2c + -2c = 0 1 + 6c = -35 + 0 1 + 6c = -35 Add '-1' to each side of the equation. 1 + -1 + 6c = -35 + -1 Combine like terms: 1 + -1 = 0 0 + 6c = -35 + -1 6c = -35 + -1 Combine like terms: -35 + -1 = -36 6c = -36 Divide each side by '6'. c = -6 Simplifying c = -6
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