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Simplifying 3(c + -6) = 10 + 2c Reorder the terms: 3(-6 + c) = 10 + 2c (-6 * 3 + c * 3) = 10 + 2c (-18 + 3c) = 10 + 2c Solving -18 + 3c = 10 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -18 + 3c + -2c = 10 + 2c + -2c Combine like terms: 3c + -2c = 1c -18 + 1c = 10 + 2c + -2c Combine like terms: 2c + -2c = 0 -18 + 1c = 10 + 0 -18 + 1c = 10 Add '18' to each side of the equation. -18 + 18 + 1c = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 1c = 10 + 18 1c = 10 + 18 Combine like terms: 10 + 18 = 28 1c = 28 Divide each side by '1'. c = 28 Simplifying c = 28
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