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Simplifying -2(c + 7) = 9c + 30 Reorder the terms: -2(7 + c) = 9c + 30 (7 * -2 + c * -2) = 9c + 30 (-14 + -2c) = 9c + 30 Reorder the terms: -14 + -2c = 30 + 9c Solving -14 + -2c = 30 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -14 + -2c + -9c = 30 + 9c + -9c Combine like terms: -2c + -9c = -11c -14 + -11c = 30 + 9c + -9c Combine like terms: 9c + -9c = 0 -14 + -11c = 30 + 0 -14 + -11c = 30 Add '14' to each side of the equation. -14 + 14 + -11c = 30 + 14 Combine like terms: -14 + 14 = 0 0 + -11c = 30 + 14 -11c = 30 + 14 Combine like terms: 30 + 14 = 44 -11c = 44 Divide each side by '-11'. c = -4 Simplifying c = -4
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