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Simplifying 6(6c + 2) + -8(1 + 5c) = 2c Reorder the terms: 6(2 + 6c) + -8(1 + 5c) = 2c (2 * 6 + 6c * 6) + -8(1 + 5c) = 2c (12 + 36c) + -8(1 + 5c) = 2c 12 + 36c + (1 * -8 + 5c * -8) = 2c 12 + 36c + (-8 + -40c) = 2c Reorder the terms: 12 + -8 + 36c + -40c = 2c Combine like terms: 12 + -8 = 4 4 + 36c + -40c = 2c Combine like terms: 36c + -40c = -4c 4 + -4c = 2c Solving 4 + -4c = 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 4 + -4c + -2c = 2c + -2c Combine like terms: -4c + -2c = -6c 4 + -6c = 2c + -2c Combine like terms: 2c + -2c = 0 4 + -6c = 0 Add '-4' to each side of the equation. 4 + -4 + -6c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6c = 0 + -4 -6c = 0 + -4 Combine like terms: 0 + -4 = -4 -6c = -4 Divide each side by '-6'. c = 0.6666666667 Simplifying c = 0.6666666667
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