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Simplifying (c + -5) + -1(c + -9) + -1(8 + -1c) = 0 Reorder the terms: (-5 + c) + -1(c + -9) + -1(8 + -1c) = 0 Remove parenthesis around (-5 + c) -5 + c + -1(c + -9) + -1(8 + -1c) = 0 Reorder the terms: -5 + c + -1(-9 + c) + -1(8 + -1c) = 0 -5 + c + (-9 * -1 + c * -1) + -1(8 + -1c) = 0 -5 + c + (9 + -1c) + -1(8 + -1c) = 0 -5 + c + 9 + -1c + (8 * -1 + -1c * -1) = 0 -5 + c + 9 + -1c + (-8 + 1c) = 0 Reorder the terms: -5 + 9 + -8 + c + -1c + 1c = 0 Combine like terms: -5 + 9 = 4 4 + -8 + c + -1c + 1c = 0 Combine like terms: 4 + -8 = -4 -4 + c + -1c + 1c = 0 Combine like terms: c + -1c = 0 -4 + 0 + 1c = 0 -4 + 1c = 0 Solving -4 + 1c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 1c = 0 + 4 1c = 0 + 4 Combine like terms: 0 + 4 = 4 1c = 4 Divide each side by '1'. c = 4 Simplifying c = 4
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