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Simplifying 9(c + -4) + 5 = 2 + c + -33 Reorder the terms: 9(-4 + c) + 5 = 2 + c + -33 (-4 * 9 + c * 9) + 5 = 2 + c + -33 (-36 + 9c) + 5 = 2 + c + -33 Reorder the terms: -36 + 5 + 9c = 2 + c + -33 Combine like terms: -36 + 5 = -31 -31 + 9c = 2 + c + -33 Reorder the terms: -31 + 9c = 2 + -33 + c Combine like terms: 2 + -33 = -31 -31 + 9c = -31 + c Add '31' to each side of the equation. -31 + 31 + 9c = -31 + 31 + c Combine like terms: -31 + 31 = 0 0 + 9c = -31 + 31 + c 9c = -31 + 31 + c Combine like terms: -31 + 31 = 0 9c = 0 + c 9c = c Solving 9c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 9c + -1c = c + -1c Combine like terms: 9c + -1c = 8c 8c = c + -1c Combine like terms: c + -1c = 0 8c = 0 Divide each side by '8'. c = 0 Simplifying c = 0
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