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Simplifying 2(c + -8) = 5c + 17 Reorder the terms: 2(-8 + c) = 5c + 17 (-8 * 2 + c * 2) = 5c + 17 (-16 + 2c) = 5c + 17 Reorder the terms: -16 + 2c = 17 + 5c Solving -16 + 2c = 17 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -16 + 2c + -5c = 17 + 5c + -5c Combine like terms: 2c + -5c = -3c -16 + -3c = 17 + 5c + -5c Combine like terms: 5c + -5c = 0 -16 + -3c = 17 + 0 -16 + -3c = 17 Add '16' to each side of the equation. -16 + 16 + -3c = 17 + 16 Combine like terms: -16 + 16 = 0 0 + -3c = 17 + 16 -3c = 17 + 16 Combine like terms: 17 + 16 = 33 -3c = 33 Divide each side by '-3'. c = -11 Simplifying c = -11
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