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Simplifying 9(c + -7) = 1 + 8c Reorder the terms: 9(-7 + c) = 1 + 8c (-7 * 9 + c * 9) = 1 + 8c (-63 + 9c) = 1 + 8c Solving -63 + 9c = 1 + 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 = 1 + 8c + -8c Combine like terms: 9c + -8c = 1c -63 + 1c = 1 + 8c + -8c Combine like terms: 8c + -8c = 0 -63 + 1c = 1 + 0 -63 + 1c = 1 Add '63' to each side of the equation. -63 + 63 + 1c = 1 + 63 Combine like terms: -63 + 63 = 0 0 + 1c = 1 + 63 1c = 1 + 63 Combine like terms: 1 + 63 = 64 1c = 64 Divide each side by '1'. c = 64 Simplifying c = 64
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