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Simplifying -9(c + -4) = -1(c + 20) Reorder the terms: -9(-4 + c) = -1(c + 20) (-4 * -9 + c * -9) = -1(c + 20) (36 + -9c) = -1(c + 20) Reorder the terms: 36 + -9c = -1(20 + c) 36 + -9c = (20 * -1 + c * -1) 36 + -9c = (-20 + -1c) Solving 36 + -9c = -20 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 36 + -9c + c = -20 + -1c + c Combine like terms: -9c + c = -8c 36 + -8c = -20 + -1c + c Combine like terms: -1c + c = 0 36 + -8c = -20 + 0 36 + -8c = -20 Add '-36' to each side of the equation. 36 + -36 + -8c = -20 + -36 Combine like terms: 36 + -36 = 0 0 + -8c = -20 + -36 -8c = -20 + -36 Combine like terms: -20 + -36 = -56 -8c = -56 Divide each side by '-8'. c = 7 Simplifying c = 7
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