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