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Simplifying -7(c + 9) = 9(c + -5) + -14c Reorder the terms: -7(9 + c) = 9(c + -5) + -14c (9 * -7 + c * -7) = 9(c + -5) + -14c (-63 + -7c) = 9(c + -5) + -14c Reorder the terms: -63 + -7c = 9(-5 + c) + -14c -63 + -7c = (-5 * 9 + c * 9) + -14c -63 + -7c = (-45 + 9c) + -14c Combine like terms: 9c + -14c = -5c -63 + -7c = -45 + -5c Solving -63 + -7c = -45 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. -63 + -7c + 5c = -45 + -5c + 5c Combine like terms: -7c + 5c = -2c -63 + -2c = -45 + -5c + 5c Combine like terms: -5c + 5c = 0 -63 + -2c = -45 + 0 -63 + -2c = -45 Add '63' to each side of the equation. -63 + 63 + -2c = -45 + 63 Combine like terms: -63 + 63 = 0 0 + -2c = -45 + 63 -2c = -45 + 63 Combine like terms: -45 + 63 = 18 -2c = 18 Divide each side by '-2'. c = -9 Simplifying c = -9
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