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Simplifying 3(c + -1) + -1c = 8c + 6 + -5c Reorder the terms: 3(-1 + c) + -1c = 8c + 6 + -5c (-1 * 3 + c * 3) + -1c = 8c + 6 + -5c (-3 + 3c) + -1c = 8c + 6 + -5c Combine like terms: 3c + -1c = 2c -3 + 2c = 8c + 6 + -5c Reorder the terms: -3 + 2c = 6 + 8c + -5c Combine like terms: 8c + -5c = 3c -3 + 2c = 6 + 3c Solving -3 + 2c = 6 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -3 + 2c + -3c = 6 + 3c + -3c Combine like terms: 2c + -3c = -1c -3 + -1c = 6 + 3c + -3c Combine like terms: 3c + -3c = 0 -3 + -1c = 6 + 0 -3 + -1c = 6 Add '3' to each side of the equation. -3 + 3 + -1c = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -1c = 6 + 3 -1c = 6 + 3 Combine like terms: 6 + 3 = 9 -1c = 9 Divide each side by '-1'. c = -9 Simplifying c = -9
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