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