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Simplifying 8c + -1(c + -5) = c + 17 Reorder the terms: 8c + -1(-5 + c) = c + 17 8c + (-5 * -1 + c * -1) = c + 17 8c + (5 + -1c) = c + 17 Reorder the terms: 5 + 8c + -1c = c + 17 Combine like terms: 8c + -1c = 7c 5 + 7c = c + 17 Reorder the terms: 5 + 7c = 17 + c Solving 5 + 7c = 17 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 5 + 7c + -1c = 17 + c + -1c Combine like terms: 7c + -1c = 6c 5 + 6c = 17 + c + -1c Combine like terms: c + -1c = 0 5 + 6c = 17 + 0 5 + 6c = 17 Add '-5' to each side of the equation. 5 + -5 + 6c = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 6c = 17 + -5 6c = 17 + -5 Combine like terms: 17 + -5 = 12 6c = 12 Divide each side by '6'. c = 2 Simplifying c = 2
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