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Simplifying 3 + 8c = 6(c + -1) Reorder the terms: 3 + 8c = 6(-1 + c) 3 + 8c = (-1 * 6 + c * 6) 3 + 8c = (-6 + 6c) Solving 3 + 8c = -6 + 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. 3 + 8c + -6c = -6 + 6c + -6c Combine like terms: 8c + -6c = 2c 3 + 2c = -6 + 6c + -6c Combine like terms: 6c + -6c = 0 3 + 2c = -6 + 0 3 + 2c = -6 Add '-3' to each side of the equation. 3 + -3 + 2c = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 2c = -6 + -3 2c = -6 + -3 Combine like terms: -6 + -3 = -9 2c = -9 Divide each side by '2'. c = -4.5 Simplifying c = -4.5
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