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Simplifying 3(4c + -5) = 14c Reorder the terms: 3(-5 + 4c) = 14c (-5 * 3 + 4c * 3) = 14c (-15 + 12c) = 14c Solving -15 + 12c = 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. -15 + 12c + -14c = 14c + -14c Combine like terms: 12c + -14c = -2c -15 + -2c = 14c + -14c Combine like terms: 14c + -14c = 0 -15 + -2c = 0 Add '15' to each side of the equation. -15 + 15 + -2c = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2c = 0 + 15 -2c = 0 + 15 Combine like terms: 0 + 15 = 15 -2c = 15 Divide each side by '-2'. c = -7.5 Simplifying c = -7.5
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