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Simplifying 3(3c + -1) + -1 = 5c + 4 Reorder the terms: 3(-1 + 3c) + -1 = 5c + 4 (-1 * 3 + 3c * 3) + -1 = 5c + 4 (-3 + 9c) + -1 = 5c + 4 Reorder the terms: -3 + -1 + 9c = 5c + 4 Combine like terms: -3 + -1 = -4 -4 + 9c = 5c + 4 Reorder the terms: -4 + 9c = 4 + 5c Solving -4 + 9c = 4 + 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. -4 + 9c + -5c = 4 + 5c + -5c Combine like terms: 9c + -5c = 4c -4 + 4c = 4 + 5c + -5c Combine like terms: 5c + -5c = 0 -4 + 4c = 4 + 0 -4 + 4c = 4 Add '4' to each side of the equation. -4 + 4 + 4c = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 4c = 4 + 4 4c = 4 + 4 Combine like terms: 4 + 4 = 8 4c = 8 Divide each side by '4'. c = 2 Simplifying c = 2
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