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Simplifying 3c + -14 + 2(c + -9) = 2c + -2 Reorder the terms: 3c + -14 + 2(-9 + c) = 2c + -2 3c + -14 + (-9 * 2 + c * 2) = 2c + -2 3c + -14 + (-18 + 2c) = 2c + -2 Reorder the terms: -14 + -18 + 3c + 2c = 2c + -2 Combine like terms: -14 + -18 = -32 -32 + 3c + 2c = 2c + -2 Combine like terms: 3c + 2c = 5c -32 + 5c = 2c + -2 Reorder the terms: -32 + 5c = -2 + 2c Solving -32 + 5c = -2 + 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. -32 + 5c + -2c = -2 + 2c + -2c Combine like terms: 5c + -2c = 3c -32 + 3c = -2 + 2c + -2c Combine like terms: 2c + -2c = 0 -32 + 3c = -2 + 0 -32 + 3c = -2 Add '32' to each side of the equation. -32 + 32 + 3c = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 3c = -2 + 32 3c = -2 + 32 Combine like terms: -2 + 32 = 30 3c = 30 Divide each side by '3'. c = 10 Simplifying c = 10
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