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Simplifying 7(c + 9) = 6 + 6c Reorder the terms: 7(9 + c) = 6 + 6c (9 * 7 + c * 7) = 6 + 6c (63 + 7c) = 6 + 6c Solving 63 + 7c = 6 + 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 = 6 + 6c + -6c Combine like terms: 7c + -6c = 1c 63 + 1c = 6 + 6c + -6c Combine like terms: 6c + -6c = 0 63 + 1c = 6 + 0 63 + 1c = 6 Add '-63' to each side of the equation. 63 + -63 + 1c = 6 + -63 Combine like terms: 63 + -63 = 0 0 + 1c = 6 + -63 1c = 6 + -63 Combine like terms: 6 + -63 = -57 1c = -57 Divide each side by '1'. c = -57 Simplifying c = -57
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