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Simplifying 8c + -10 = 3(6 + -2c) Reorder the terms: -10 + 8c = 3(6 + -2c) -10 + 8c = (6 * 3 + -2c * 3) -10 + 8c = (18 + -6c) Solving -10 + 8c = 18 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. -10 + 8c + 6c = 18 + -6c + 6c Combine like terms: 8c + 6c = 14c -10 + 14c = 18 + -6c + 6c Combine like terms: -6c + 6c = 0 -10 + 14c = 18 + 0 -10 + 14c = 18 Add '10' to each side of the equation. -10 + 10 + 14c = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 14c = 18 + 10 14c = 18 + 10 Combine like terms: 18 + 10 = 28 14c = 28 Divide each side by '14'. c = 2 Simplifying c = 2
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