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Simplifying 9(c + -6) = 8c + -8 Reorder the terms: 9(-6 + c) = 8c + -8 (-6 * 9 + c * 9) = 8c + -8 (-54 + 9c) = 8c + -8 Reorder the terms: -54 + 9c = -8 + 8c Solving -54 + 9c = -8 + 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. -54 + 9c + -8c = -8 + 8c + -8c Combine like terms: 9c + -8c = 1c -54 + 1c = -8 + 8c + -8c Combine like terms: 8c + -8c = 0 -54 + 1c = -8 + 0 -54 + 1c = -8 Add '54' to each side of the equation. -54 + 54 + 1c = -8 + 54 Combine like terms: -54 + 54 = 0 0 + 1c = -8 + 54 1c = -8 + 54 Combine like terms: -8 + 54 = 46 1c = 46 Divide each side by '1'. c = 46 Simplifying c = 46
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