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Simplifying 9(c + -4) = 4 + 8c Reorder the terms: 9(-4 + c) = 4 + 8c (-4 * 9 + c * 9) = 4 + 8c (-36 + 9c) = 4 + 8c Solving -36 + 9c = 4 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -36 + 9c + -8c = 4 + 8c + -8c Combine like terms: 9c + -8c = 1c -36 + 1c = 4 + 8c + -8c Combine like terms: 8c + -8c = 0 -36 + 1c = 4 + 0 -36 + 1c = 4 Add '36' to each side of the equation. -36 + 36 + 1c = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 1c = 4 + 36 1c = 4 + 36 Combine like terms: 4 + 36 = 40 1c = 40 Divide each side by '1'. c = 40 Simplifying c = 40
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