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Simplifying (c + -6) + -1(c + 9) = 6c Reorder the terms: (-6 + c) + -1(c + 9) = 6c Remove parenthesis around (-6 + c) -6 + c + -1(c + 9) = 6c Reorder the terms: -6 + c + -1(9 + c) = 6c -6 + c + (9 * -1 + c * -1) = 6c -6 + c + (-9 + -1c) = 6c Reorder the terms: -6 + -9 + c + -1c = 6c Combine like terms: -6 + -9 = -15 -15 + c + -1c = 6c Combine like terms: c + -1c = 0 -15 + 0 = 6c -15 = 6c Solving -15 = 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. -15 + -6c = 6c + -6c Combine like terms: 6c + -6c = 0 -15 + -6c = 0 Add '15' to each side of the equation. -15 + 15 + -6c = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -6c = 0 + 15 -6c = 0 + 15 Combine like terms: 0 + 15 = 15 -6c = 15 Divide each side by '-6'. c = -2.5 Simplifying c = -2.5
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