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Simplifying 2(c + -4) = 2(4 + -1c) Reorder the terms: 2(-4 + c) = 2(4 + -1c) (-4 * 2 + c * 2) = 2(4 + -1c) (-8 + 2c) = 2(4 + -1c) -8 + 2c = (4 * 2 + -1c * 2) -8 + 2c = (8 + -2c) Solving -8 + 2c = 8 + -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. -8 + 2c + 2c = 8 + -2c + 2c Combine like terms: 2c + 2c = 4c -8 + 4c = 8 + -2c + 2c Combine like terms: -2c + 2c = 0 -8 + 4c = 8 + 0 -8 + 4c = 8 Add '8' to each side of the equation. -8 + 8 + 4c = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4c = 8 + 8 4c = 8 + 8 Combine like terms: 8 + 8 = 16 4c = 16 Divide each side by '4'. c = 4 Simplifying c = 4
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