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Simplifying 7(c + -9) = 9(2c + -8) + -4c Reorder the terms: 7(-9 + c) = 9(2c + -8) + -4c (-9 * 7 + c * 7) = 9(2c + -8) + -4c (-63 + 7c) = 9(2c + -8) + -4c Reorder the terms: -63 + 7c = 9(-8 + 2c) + -4c -63 + 7c = (-8 * 9 + 2c * 9) + -4c -63 + 7c = (-72 + 18c) + -4c Combine like terms: 18c + -4c = 14c -63 + 7c = -72 + 14c Solving -63 + 7c = -72 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. -63 + 7c + -14c = -72 + 14c + -14c Combine like terms: 7c + -14c = -7c -63 + -7c = -72 + 14c + -14c Combine like terms: 14c + -14c = 0 -63 + -7c = -72 + 0 -63 + -7c = -72 Add '63' to each side of the equation. -63 + 63 + -7c = -72 + 63 Combine like terms: -63 + 63 = 0 0 + -7c = -72 + 63 -7c = -72 + 63 Combine like terms: -72 + 63 = -9 -7c = -9 Divide each side by '-7'. c = 1.285714286 Simplifying c = 1.285714286
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