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Simplifying 7c + -3c + -19 = 17 + 7c Reorder the terms: -19 + 7c + -3c = 17 + 7c Combine like terms: 7c + -3c = 4c -19 + 4c = 17 + 7c Solving -19 + 4c = 17 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -19 + 4c + -7c = 17 + 7c + -7c Combine like terms: 4c + -7c = -3c -19 + -3c = 17 + 7c + -7c Combine like terms: 7c + -7c = 0 -19 + -3c = 17 + 0 -19 + -3c = 17 Add '19' to each side of the equation. -19 + 19 + -3c = 17 + 19 Combine like terms: -19 + 19 = 0 0 + -3c = 17 + 19 -3c = 17 + 19 Combine like terms: 17 + 19 = 36 -3c = 36 Divide each side by '-3'. c = -12 Simplifying c = -12
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