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Simplifying c(c + 2) + -1c(c + -6) = 10c + -12 Reorder the terms: c(2 + c) + -1c(c + -6) = 10c + -12 (2 * c + c * c) + -1c(c + -6) = 10c + -12 (2c + c2) + -1c(c + -6) = 10c + -12 Reorder the terms: 2c + c2 + -1c(-6 + c) = 10c + -12 2c + c2 + (-6 * -1c + c * -1c) = 10c + -12 2c + c2 + (6c + -1c2) = 10c + -12 Reorder the terms: 2c + 6c + c2 + -1c2 = 10c + -12 Combine like terms: 2c + 6c = 8c 8c + c2 + -1c2 = 10c + -12 Combine like terms: c2 + -1c2 = 0 8c + 0 = 10c + -12 8c = 10c + -12 Reorder the terms: 8c = -12 + 10c Solving 8c = -12 + 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. 8c + -10c = -12 + 10c + -10c Combine like terms: 8c + -10c = -2c -2c = -12 + 10c + -10c Combine like terms: 10c + -10c = 0 -2c = -12 + 0 -2c = -12 Divide each side by '-2'. c = 6 Simplifying c = 6
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