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Simplifying 6(6c + -1) + -2 = 34c + 6 Reorder the terms: 6(-1 + 6c) + -2 = 34c + 6 (-1 * 6 + 6c * 6) + -2 = 34c + 6 (-6 + 36c) + -2 = 34c + 6 Reorder the terms: -6 + -2 + 36c = 34c + 6 Combine like terms: -6 + -2 = -8 -8 + 36c = 34c + 6 Reorder the terms: -8 + 36c = 6 + 34c Solving -8 + 36c = 6 + 34c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-34c' to each side of the equation. -8 + 36c + -34c = 6 + 34c + -34c Combine like terms: 36c + -34c = 2c -8 + 2c = 6 + 34c + -34c Combine like terms: 34c + -34c = 0 -8 + 2c = 6 + 0 -8 + 2c = 6 Add '8' to each side of the equation. -8 + 8 + 2c = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 6 + 8 2c = 6 + 8 Combine like terms: 6 + 8 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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