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Simplifying 2(c + -4) + 8 = 0.5(6c + 20) Reorder the terms: 2(-4 + c) + 8 = 0.5(6c + 20) (-4 * 2 + c * 2) + 8 = 0.5(6c + 20) (-8 + 2c) + 8 = 0.5(6c + 20) Reorder the terms: -8 + 8 + 2c = 0.5(6c + 20) Combine like terms: -8 + 8 = 0 0 + 2c = 0.5(6c + 20) 2c = 0.5(6c + 20) Reorder the terms: 2c = 0.5(20 + 6c) 2c = (20 * 0.5 + 6c * 0.5) 2c = (10 + 3c) Solving 2c = 10 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 2c + -3c = 10 + 3c + -3c Combine like terms: 2c + -3c = -1c -1c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 -1c = 10 + 0 -1c = 10 Divide each side by '-1'. c = -10 Simplifying c = -10
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