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Simplifying 9(c + -4) + 6 = 5 + c + -35 Reorder the terms: 9(-4 + c) + 6 = 5 + c + -35 (-4 * 9 + c * 9) + 6 = 5 + c + -35 (-36 + 9c) + 6 = 5 + c + -35 Reorder the terms: -36 + 6 + 9c = 5 + c + -35 Combine like terms: -36 + 6 = -30 -30 + 9c = 5 + c + -35 Reorder the terms: -30 + 9c = 5 + -35 + c Combine like terms: 5 + -35 = -30 -30 + 9c = -30 + c Add '30' to each side of the equation. -30 + 30 + 9c = -30 + 30 + c Combine like terms: -30 + 30 = 0 0 + 9c = -30 + 30 + c 9c = -30 + 30 + c Combine like terms: -30 + 30 = 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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