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Simplifying -12 + -9(-2c + 17) = 3c Reorder the terms: -12 + -9(17 + -2c) = 3c -12 + (17 * -9 + -2c * -9) = 3c -12 + (-153 + 18c) = 3c Combine like terms: -12 + -153 = -165 -165 + 18c = 3c Solving -165 + 18c = 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -165 + 18c + -3c = 3c + -3c Combine like terms: 18c + -3c = 15c -165 + 15c = 3c + -3c Combine like terms: 3c + -3c = 0 -165 + 15c = 0 Add '165' to each side of the equation. -165 + 165 + 15c = 0 + 165 Combine like terms: -165 + 165 = 0 0 + 15c = 0 + 165 15c = 0 + 165 Combine like terms: 0 + 165 = 165 15c = 165 Divide each side by '15'. c = 11 Simplifying c = 11
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