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Simplifying 3(2c + -1) + -1 = 3c + 8 Reorder the terms: 3(-1 + 2c) + -1 = 3c + 8 (-1 * 3 + 2c * 3) + -1 = 3c + 8 (-3 + 6c) + -1 = 3c + 8 Reorder the terms: -3 + -1 + 6c = 3c + 8 Combine like terms: -3 + -1 = -4 -4 + 6c = 3c + 8 Reorder the terms: -4 + 6c = 8 + 3c Solving -4 + 6c = 8 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -4 + 6c + -3c = 8 + 3c + -3c Combine like terms: 6c + -3c = 3c -4 + 3c = 8 + 3c + -3c Combine like terms: 3c + -3c = 0 -4 + 3c = 8 + 0 -4 + 3c = 8 Add '4' to each side of the equation. -4 + 4 + 3c = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 3c = 8 + 4 3c = 8 + 4 Combine like terms: 8 + 4 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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