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Simplifying -17c + -15 = 8c + 19 + 16 Reorder the terms: -15 + -17c = 8c + 19 + 16 Reorder the terms: -15 + -17c = 19 + 16 + 8c Combine like terms: 19 + 16 = 35 -15 + -17c = 35 + 8c Solving -15 + -17c = 35 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -15 + -17c + -8c = 35 + 8c + -8c Combine like terms: -17c + -8c = -25c -15 + -25c = 35 + 8c + -8c Combine like terms: 8c + -8c = 0 -15 + -25c = 35 + 0 -15 + -25c = 35 Add '15' to each side of the equation. -15 + 15 + -25c = 35 + 15 Combine like terms: -15 + 15 = 0 0 + -25c = 35 + 15 -25c = 35 + 15 Combine like terms: 35 + 15 = 50 -25c = 50 Divide each side by '-25'. c = -2 Simplifying c = -2
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