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Simplifying 8c + -4 + 3(c + 7) = 6c + -3(c + -3) Reorder the terms: 8c + -4 + 3(7 + c) = 6c + -3(c + -3) 8c + -4 + (7 * 3 + c * 3) = 6c + -3(c + -3) 8c + -4 + (21 + 3c) = 6c + -3(c + -3) Reorder the terms: -4 + 21 + 8c + 3c = 6c + -3(c + -3) Combine like terms: -4 + 21 = 17 17 + 8c + 3c = 6c + -3(c + -3) Combine like terms: 8c + 3c = 11c 17 + 11c = 6c + -3(c + -3) Reorder the terms: 17 + 11c = 6c + -3(-3 + c) 17 + 11c = 6c + (-3 * -3 + c * -3) 17 + 11c = 6c + (9 + -3c) Reorder the terms: 17 + 11c = 9 + 6c + -3c Combine like terms: 6c + -3c = 3c 17 + 11c = 9 + 3c Solving 17 + 11c = 9 + 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. 17 + 11c + -3c = 9 + 3c + -3c Combine like terms: 11c + -3c = 8c 17 + 8c = 9 + 3c + -3c Combine like terms: 3c + -3c = 0 17 + 8c = 9 + 0 17 + 8c = 9 Add '-17' to each side of the equation. 17 + -17 + 8c = 9 + -17 Combine like terms: 17 + -17 = 0 0 + 8c = 9 + -17 8c = 9 + -17 Combine like terms: 9 + -17 = -8 8c = -8 Divide each side by '8'. c = -1 Simplifying c = -1
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