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Simplifying 10c + -8 = 10 + 2c + 10c Reorder the terms: -8 + 10c = 10 + 2c + 10c Combine like terms: 2c + 10c = 12c -8 + 10c = 10 + 12c Solving -8 + 10c = 10 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -8 + 10c + -12c = 10 + 12c + -12c Combine like terms: 10c + -12c = -2c -8 + -2c = 10 + 12c + -12c Combine like terms: 12c + -12c = 0 -8 + -2c = 10 + 0 -8 + -2c = 10 Add '8' to each side of the equation. -8 + 8 + -2c = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2c = 10 + 8 -2c = 10 + 8 Combine like terms: 10 + 8 = 18 -2c = 18 Divide each side by '-2'. c = -9 Simplifying c = -9
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