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Simplifying 6(c + 7) = 9 + 5c Reorder the terms: 6(7 + c) = 9 + 5c (7 * 6 + c * 6) = 9 + 5c (42 + 6c) = 9 + 5c Solving 42 + 6c = 9 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 42 + 6c + -5c = 9 + 5c + -5c Combine like terms: 6c + -5c = 1c 42 + 1c = 9 + 5c + -5c Combine like terms: 5c + -5c = 0 42 + 1c = 9 + 0 42 + 1c = 9 Add '-42' to each side of the equation. 42 + -42 + 1c = 9 + -42 Combine like terms: 42 + -42 = 0 0 + 1c = 9 + -42 1c = 9 + -42 Combine like terms: 9 + -42 = -33 1c = -33 Divide each side by '1'. c = -33 Simplifying c = -33
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