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Simplifying (2c + 6) = (8c + -10) Reorder the terms: (6 + 2c) = (8c + -10) Remove parenthesis around (6 + 2c) 6 + 2c = (8c + -10) Reorder the terms: 6 + 2c = (-10 + 8c) Remove parenthesis around (-10 + 8c) 6 + 2c = -10 + 8c Solving 6 + 2c = -10 + 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. 6 + 2c + -8c = -10 + 8c + -8c Combine like terms: 2c + -8c = -6c 6 + -6c = -10 + 8c + -8c Combine like terms: 8c + -8c = 0 6 + -6c = -10 + 0 6 + -6c = -10 Add '-6' to each side of the equation. 6 + -6 + -6c = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -6c = -10 + -6 -6c = -10 + -6 Combine like terms: -10 + -6 = -16 -6c = -16 Divide each side by '-6'. c = 2.666666667 Simplifying c = 2.666666667
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