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Simplifying 4(3c + -5) = -3(2c + 5) Reorder the terms: 4(-5 + 3c) = -3(2c + 5) (-5 * 4 + 3c * 4) = -3(2c + 5) (-20 + 12c) = -3(2c + 5) Reorder the terms: -20 + 12c = -3(5 + 2c) -20 + 12c = (5 * -3 + 2c * -3) -20 + 12c = (-15 + -6c) Solving -20 + 12c = -15 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. -20 + 12c + 6c = -15 + -6c + 6c Combine like terms: 12c + 6c = 18c -20 + 18c = -15 + -6c + 6c Combine like terms: -6c + 6c = 0 -20 + 18c = -15 + 0 -20 + 18c = -15 Add '20' to each side of the equation. -20 + 20 + 18c = -15 + 20 Combine like terms: -20 + 20 = 0 0 + 18c = -15 + 20 18c = -15 + 20 Combine like terms: -15 + 20 = 5 18c = 5 Divide each side by '18'. c = 0.2777777778 Simplifying c = 0.2777777778
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