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Simplifying (9c + 7) + -1(5c + -9) = 0 Reorder the terms: (7 + 9c) + -1(5c + -9) = 0 Remove parenthesis around (7 + 9c) 7 + 9c + -1(5c + -9) = 0 Reorder the terms: 7 + 9c + -1(-9 + 5c) = 0 7 + 9c + (-9 * -1 + 5c * -1) = 0 7 + 9c + (9 + -5c) = 0 Reorder the terms: 7 + 9 + 9c + -5c = 0 Combine like terms: 7 + 9 = 16 16 + 9c + -5c = 0 Combine like terms: 9c + -5c = 4c 16 + 4c = 0 Solving 16 + 4c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4c = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4c = 0 + -16 4c = 0 + -16 Combine like terms: 0 + -16 = -16 4c = -16 Divide each side by '4'. c = -4 Simplifying c = -4
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