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