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Simplifying 2(1 + -8c) = 5 + -3(6c + 1) + 4c (1 * 2 + -8c * 2) = 5 + -3(6c + 1) + 4c (2 + -16c) = 5 + -3(6c + 1) + 4c Reorder the terms: 2 + -16c = 5 + -3(1 + 6c) + 4c 2 + -16c = 5 + (1 * -3 + 6c * -3) + 4c 2 + -16c = 5 + (-3 + -18c) + 4c Combine like terms: 5 + -3 = 2 2 + -16c = 2 + -18c + 4c Combine like terms: -18c + 4c = -14c 2 + -16c = 2 + -14c Add '-2' to each side of the equation. 2 + -2 + -16c = 2 + -2 + -14c Combine like terms: 2 + -2 = 0 0 + -16c = 2 + -2 + -14c -16c = 2 + -2 + -14c Combine like terms: 2 + -2 = 0 -16c = 0 + -14c -16c = -14c Solving -16c = -14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14c' to each side of the equation. -16c + 14c = -14c + 14c Combine like terms: -16c + 14c = -2c -2c = -14c + 14c Combine like terms: -14c + 14c = 0 -2c = 0 Divide each side by '-2'. c = 0 Simplifying c = 0
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