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Simplifying 6(2c + -1) = 5(2c + 2) Reorder the terms: 6(-1 + 2c) = 5(2c + 2) (-1 * 6 + 2c * 6) = 5(2c + 2) (-6 + 12c) = 5(2c + 2) Reorder the terms: -6 + 12c = 5(2 + 2c) -6 + 12c = (2 * 5 + 2c * 5) -6 + 12c = (10 + 10c) Solving -6 + 12c = 10 + 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. -6 + 12c + -10c = 10 + 10c + -10c Combine like terms: 12c + -10c = 2c -6 + 2c = 10 + 10c + -10c Combine like terms: 10c + -10c = 0 -6 + 2c = 10 + 0 -6 + 2c = 10 Add '6' to each side of the equation. -6 + 6 + 2c = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2c = 10 + 6 2c = 10 + 6 Combine like terms: 10 + 6 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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