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Simplifying -3(8 + -2c) + 9 = 5(3c + -6) (8 * -3 + -2c * -3) + 9 = 5(3c + -6) (-24 + 6c) + 9 = 5(3c + -6) Reorder the terms: -24 + 9 + 6c = 5(3c + -6) Combine like terms: -24 + 9 = -15 -15 + 6c = 5(3c + -6) Reorder the terms: -15 + 6c = 5(-6 + 3c) -15 + 6c = (-6 * 5 + 3c * 5) -15 + 6c = (-30 + 15c) Solving -15 + 6c = -30 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. -15 + 6c + -15c = -30 + 15c + -15c Combine like terms: 6c + -15c = -9c -15 + -9c = -30 + 15c + -15c Combine like terms: 15c + -15c = 0 -15 + -9c = -30 + 0 -15 + -9c = -30 Add '15' to each side of the equation. -15 + 15 + -9c = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -9c = -30 + 15 -9c = -30 + 15 Combine like terms: -30 + 15 = -15 -9c = -15 Divide each side by '-9'. c = 1.666666667 Simplifying c = 1.666666667
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