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Simplifying -8(-6c + 14) + -20c = 20c + 7 + 17 Reorder the terms: -8(14 + -6c) + -20c = 20c + 7 + 17 (14 * -8 + -6c * -8) + -20c = 20c + 7 + 17 (-112 + 48c) + -20c = 20c + 7 + 17 Combine like terms: 48c + -20c = 28c -112 + 28c = 20c + 7 + 17 Reorder the terms: -112 + 28c = 7 + 17 + 20c Combine like terms: 7 + 17 = 24 -112 + 28c = 24 + 20c Solving -112 + 28c = 24 + 20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20c' to each side of the equation. -112 + 28c + -20c = 24 + 20c + -20c Combine like terms: 28c + -20c = 8c -112 + 8c = 24 + 20c + -20c Combine like terms: 20c + -20c = 0 -112 + 8c = 24 + 0 -112 + 8c = 24 Add '112' to each side of the equation. -112 + 112 + 8c = 24 + 112 Combine like terms: -112 + 112 = 0 0 + 8c = 24 + 112 8c = 24 + 112 Combine like terms: 24 + 112 = 136 8c = 136 Divide each side by '8'. c = 17 Simplifying c = 17
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