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Simplifying -15c + 7c + 1 = 33 + 8c Reorder the terms: 1 + -15c + 7c = 33 + 8c Combine like terms: -15c + 7c = -8c 1 + -8c = 33 + 8c Solving 1 + -8c = 33 + 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. 1 + -8c + -8c = 33 + 8c + -8c Combine like terms: -8c + -8c = -16c 1 + -16c = 33 + 8c + -8c Combine like terms: 8c + -8c = 0 1 + -16c = 33 + 0 1 + -16c = 33 Add '-1' to each side of the equation. 1 + -1 + -16c = 33 + -1 Combine like terms: 1 + -1 = 0 0 + -16c = 33 + -1 -16c = 33 + -1 Combine like terms: 33 + -1 = 32 -16c = 32 Divide each side by '-16'. c = -2 Simplifying c = -2
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