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Simplifying 9c + 2 = 2(c + -6) Reorder the terms: 2 + 9c = 2(c + -6) Reorder the terms: 2 + 9c = 2(-6 + c) 2 + 9c = (-6 * 2 + c * 2) 2 + 9c = (-12 + 2c) Solving 2 + 9c = -12 + 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. 2 + 9c + -2c = -12 + 2c + -2c Combine like terms: 9c + -2c = 7c 2 + 7c = -12 + 2c + -2c Combine like terms: 2c + -2c = 0 2 + 7c = -12 + 0 2 + 7c = -12 Add '-2' to each side of the equation. 2 + -2 + 7c = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 7c = -12 + -2 7c = -12 + -2 Combine like terms: -12 + -2 = -14 7c = -14 Divide each side by '7'. c = -2 Simplifying c = -2
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