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Simplifying 3(2c + -5) = 8c + -9 Reorder the terms: 3(-5 + 2c) = 8c + -9 (-5 * 3 + 2c * 3) = 8c + -9 (-15 + 6c) = 8c + -9 Reorder the terms: -15 + 6c = -9 + 8c Solving -15 + 6c = -9 + 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. -15 + 6c + -8c = -9 + 8c + -8c Combine like terms: 6c + -8c = -2c -15 + -2c = -9 + 8c + -8c Combine like terms: 8c + -8c = 0 -15 + -2c = -9 + 0 -15 + -2c = -9 Add '15' to each side of the equation. -15 + 15 + -2c = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -2c = -9 + 15 -2c = -9 + 15 Combine like terms: -9 + 15 = 6 -2c = 6 Divide each side by '-2'. c = -3 Simplifying c = -3
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