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Simplifying c + 1 = 33 + -7c Reorder the terms: 1 + c = 33 + -7c Solving 1 + c = 33 + -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. 1 + c + 7c = 33 + -7c + 7c Combine like terms: c + 7c = 8c 1 + 8c = 33 + -7c + 7c Combine like terms: -7c + 7c = 0 1 + 8c = 33 + 0 1 + 8c = 33 Add '-1' to each side of the equation. 1 + -1 + 8c = 33 + -1 Combine like terms: 1 + -1 = 0 0 + 8c = 33 + -1 8c = 33 + -1 Combine like terms: 33 + -1 = 32 8c = 32 Divide each side by '8'. c = 4 Simplifying c = 4
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