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Simplifying 5c + 9 = 5(8c + -3) Reorder the terms: 9 + 5c = 5(8c + -3) Reorder the terms: 9 + 5c = 5(-3 + 8c) 9 + 5c = (-3 * 5 + 8c * 5) 9 + 5c = (-15 + 40c) Solving 9 + 5c = -15 + 40c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40c' to each side of the equation. 9 + 5c + -40c = -15 + 40c + -40c Combine like terms: 5c + -40c = -35c 9 + -35c = -15 + 40c + -40c Combine like terms: 40c + -40c = 0 9 + -35c = -15 + 0 9 + -35c = -15 Add '-9' to each side of the equation. 9 + -9 + -35c = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -35c = -15 + -9 -35c = -15 + -9 Combine like terms: -15 + -9 = -24 -35c = -24 Divide each side by '-35'. c = 0.6857142857 Simplifying c = 0.6857142857
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