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Simplifying 3(3c + -1) + -5 = 5c + 8 Reorder the terms: 3(-1 + 3c) + -5 = 5c + 8 (-1 * 3 + 3c * 3) + -5 = 5c + 8 (-3 + 9c) + -5 = 5c + 8 Reorder the terms: -3 + -5 + 9c = 5c + 8 Combine like terms: -3 + -5 = -8 -8 + 9c = 5c + 8 Reorder the terms: -8 + 9c = 8 + 5c Solving -8 + 9c = 8 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -8 + 9c + -5c = 8 + 5c + -5c Combine like terms: 9c + -5c = 4c -8 + 4c = 8 + 5c + -5c Combine like terms: 5c + -5c = 0 -8 + 4c = 8 + 0 -8 + 4c = 8 Add '8' to each side of the equation. -8 + 8 + 4c = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4c = 8 + 8 4c = 8 + 8 Combine like terms: 8 + 8 = 16 4c = 16 Divide each side by '4'. c = 4 Simplifying c = 4
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