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Simplifying -16 + 20c = 6(6c + 20) + c Reorder the terms: -16 + 20c = 6(20 + 6c) + c -16 + 20c = (20 * 6 + 6c * 6) + c -16 + 20c = (120 + 36c) + c Combine like terms: 36c + c = 37c -16 + 20c = 120 + 37c Solving -16 + 20c = 120 + 37c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-37c' to each side of the equation. -16 + 20c + -37c = 120 + 37c + -37c Combine like terms: 20c + -37c = -17c -16 + -17c = 120 + 37c + -37c Combine like terms: 37c + -37c = 0 -16 + -17c = 120 + 0 -16 + -17c = 120 Add '16' to each side of the equation. -16 + 16 + -17c = 120 + 16 Combine like terms: -16 + 16 = 0 0 + -17c = 120 + 16 -17c = 120 + 16 Combine like terms: 120 + 16 = 136 -17c = 136 Divide each side by '-17'. c = -8 Simplifying c = -8
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