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