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Simplifying -8 + c = 8 + 10c + -7 Reorder the terms: -8 + c = 8 + -7 + 10c Combine like terms: 8 + -7 = 1 -8 + c = 1 + 10c Solving -8 + c = 1 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -8 + c + -10c = 1 + 10c + -10c Combine like terms: c + -10c = -9c -8 + -9c = 1 + 10c + -10c Combine like terms: 10c + -10c = 0 -8 + -9c = 1 + 0 -8 + -9c = 1 Add '8' to each side of the equation. -8 + 8 + -9c = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -9c = 1 + 8 -9c = 1 + 8 Combine like terms: 1 + 8 = 9 -9c = 9 Divide each side by '-9'. c = -1 Simplifying c = -1
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