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Simplifying 7(c + -9) = (2c + -8) + 4c Reorder the terms: 7(-9 + c) = (2c + -8) + 4c (-9 * 7 + c * 7) = (2c + -8) + 4c (-63 + 7c) = (2c + -8) + 4c Reorder the terms: -63 + 7c = (-8 + 2c) + 4c Remove parenthesis around (-8 + 2c) -63 + 7c = -8 + 2c + 4c Combine like terms: 2c + 4c = 6c -63 + 7c = -8 + 6c Solving -63 + 7c = -8 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -63 + 7c + -6c = -8 + 6c + -6c Combine like terms: 7c + -6c = 1c -63 + 1c = -8 + 6c + -6c Combine like terms: 6c + -6c = 0 -63 + 1c = -8 + 0 -63 + 1c = -8 Add '63' to each side of the equation. -63 + 63 + 1c = -8 + 63 Combine like terms: -63 + 63 = 0 0 + 1c = -8 + 63 1c = -8 + 63 Combine like terms: -8 + 63 = 55 1c = 55 Divide each side by '1'. c = 55 Simplifying c = 55
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