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Simplifying 3(3c + -1) + -5 = 7c + 2 Reorder the terms: 3(-1 + 3c) + -5 = 7c + 2 (-1 * 3 + 3c * 3) + -5 = 7c + 2 (-3 + 9c) + -5 = 7c + 2 Reorder the terms: -3 + -5 + 9c = 7c + 2 Combine like terms: -3 + -5 = -8 -8 + 9c = 7c + 2 Reorder the terms: -8 + 9c = 2 + 7c Solving -8 + 9c = 2 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -8 + 9c + -7c = 2 + 7c + -7c Combine like terms: 9c + -7c = 2c -8 + 2c = 2 + 7c + -7c Combine like terms: 7c + -7c = 0 -8 + 2c = 2 + 0 -8 + 2c = 2 Add '8' to each side of the equation. -8 + 8 + 2c = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 2 + 8 2c = 2 + 8 Combine like terms: 2 + 8 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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