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Simplifying 3(3c + -1) + -4 = 4c + 8 Reorder the terms: 3(-1 + 3c) + -4 = 4c + 8 (-1 * 3 + 3c * 3) + -4 = 4c + 8 (-3 + 9c) + -4 = 4c + 8 Reorder the terms: -3 + -4 + 9c = 4c + 8 Combine like terms: -3 + -4 = -7 -7 + 9c = 4c + 8 Reorder the terms: -7 + 9c = 8 + 4c Solving -7 + 9c = 8 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -7 + 9c + -4c = 8 + 4c + -4c Combine like terms: 9c + -4c = 5c -7 + 5c = 8 + 4c + -4c Combine like terms: 4c + -4c = 0 -7 + 5c = 8 + 0 -7 + 5c = 8 Add '7' to each side of the equation. -7 + 7 + 5c = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5c = 8 + 7 5c = 8 + 7 Combine like terms: 8 + 7 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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