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Simplifying 6(6c + -1) + -4 = 34c + 6 Reorder the terms: 6(-1 + 6c) + -4 = 34c + 6 (-1 * 6 + 6c * 6) + -4 = 34c + 6 (-6 + 36c) + -4 = 34c + 6 Reorder the terms: -6 + -4 + 36c = 34c + 6 Combine like terms: -6 + -4 = -10 -10 + 36c = 34c + 6 Reorder the terms: -10 + 36c = 6 + 34c Solving -10 + 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. -10 + 36c + -34c = 6 + 34c + -34c Combine like terms: 36c + -34c = 2c -10 + 2c = 6 + 34c + -34c Combine like terms: 34c + -34c = 0 -10 + 2c = 6 + 0 -10 + 2c = 6 Add '10' to each side of the equation. -10 + 10 + 2c = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2c = 6 + 10 2c = 6 + 10 Combine like terms: 6 + 10 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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