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Simplifying 9(c + -6) = 8(c + -9) Reorder the terms: 9(-6 + c) = 8(c + -9) (-6 * 9 + c * 9) = 8(c + -9) (-54 + 9c) = 8(c + -9) Reorder the terms: -54 + 9c = 8(-9 + c) -54 + 9c = (-9 * 8 + c * 8) -54 + 9c = (-72 + 8c) Solving -54 + 9c = -72 + 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 = -72 + 8c + -8c Combine like terms: 9c + -8c = 1c -54 + 1c = -72 + 8c + -8c Combine like terms: 8c + -8c = 0 -54 + 1c = -72 + 0 -54 + 1c = -72 Add '54' to each side of the equation. -54 + 54 + 1c = -72 + 54 Combine like terms: -54 + 54 = 0 0 + 1c = -72 + 54 1c = -72 + 54 Combine like terms: -72 + 54 = -18 1c = -18 Divide each side by '1'. c = -18 Simplifying c = -18
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