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Simplifying 2(4c + -3) + -8 = 4 + 2c Reorder the terms: 2(-3 + 4c) + -8 = 4 + 2c (-3 * 2 + 4c * 2) + -8 = 4 + 2c (-6 + 8c) + -8 = 4 + 2c Reorder the terms: -6 + -8 + 8c = 4 + 2c Combine like terms: -6 + -8 = -14 -14 + 8c = 4 + 2c Solving -14 + 8c = 4 + 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. -14 + 8c + -2c = 4 + 2c + -2c Combine like terms: 8c + -2c = 6c -14 + 6c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 -14 + 6c = 4 + 0 -14 + 6c = 4 Add '14' to each side of the equation. -14 + 14 + 6c = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6c = 4 + 14 6c = 4 + 14 Combine like terms: 4 + 14 = 18 6c = 18 Divide each side by '6'. c = 3 Simplifying c = 3
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