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Simplifying 3(c + -8) = 2(c + -9) Reorder the terms: 3(-8 + c) = 2(c + -9) (-8 * 3 + c * 3) = 2(c + -9) (-24 + 3c) = 2(c + -9) Reorder the terms: -24 + 3c = 2(-9 + c) -24 + 3c = (-9 * 2 + c * 2) -24 + 3c = (-18 + 2c) Solving -24 + 3c = -18 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -24 + 3c + -2c = -18 + 2c + -2c Combine like terms: 3c + -2c = 1c -24 + 1c = -18 + 2c + -2c Combine like terms: 2c + -2c = 0 -24 + 1c = -18 + 0 -24 + 1c = -18 Add '24' to each side of the equation. -24 + 24 + 1c = -18 + 24 Combine like terms: -24 + 24 = 0 0 + 1c = -18 + 24 1c = -18 + 24 Combine like terms: -18 + 24 = 6 1c = 6 Divide each side by '1'. c = 6 Simplifying c = 6
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