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Simplifying 8 = 2(2c + -5) + -1c Reorder the terms: 8 = 2(-5 + 2c) + -1c 8 = (-5 * 2 + 2c * 2) + -1c 8 = (-10 + 4c) + -1c Combine like terms: 4c + -1c = 3c 8 = -10 + 3c Solving 8 = -10 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 8 + -3c = -10 + 3c + -3c Combine like terms: 3c + -3c = 0 8 + -3c = -10 + 0 8 + -3c = -10 Add '-8' to each side of the equation. 8 + -8 + -3c = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -3c = -10 + -8 -3c = -10 + -8 Combine like terms: -10 + -8 = -18 -3c = -18 Divide each side by '-3'. c = 6 Simplifying c = 6
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