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Simplifying 9(c + -7) = 8c + -7 Reorder the terms: 9(-7 + c) = 8c + -7 (-7 * 9 + c * 9) = 8c + -7 (-63 + 9c) = 8c + -7 Reorder the terms: -63 + 9c = -7 + 8c Solving -63 + 9c = -7 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -63 + 9c + -8c = -7 + 8c + -8c Combine like terms: 9c + -8c = 1c -63 + 1c = -7 + 8c + -8c Combine like terms: 8c + -8c = 0 -63 + 1c = -7 + 0 -63 + 1c = -7 Add '63' to each side of the equation. -63 + 63 + 1c = -7 + 63 Combine like terms: -63 + 63 = 0 0 + 1c = -7 + 63 1c = -7 + 63 Combine like terms: -7 + 63 = 56 1c = 56 Divide each side by '1'. c = 56 Simplifying c = 56
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