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Simplifying 2(3z + -1) = 4(z + 2) Reorder the terms: 2(-1 + 3z) = 4(z + 2) (-1 * 2 + 3z * 2) = 4(z + 2) (-2 + 6z) = 4(z + 2) Reorder the terms: -2 + 6z = 4(2 + z) -2 + 6z = (2 * 4 + z * 4) -2 + 6z = (8 + 4z) Solving -2 + 6z = 8 + 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 + 6z + -4z = 8 + 4z + -4z Combine like terms: 6z + -4z = 2z -2 + 2z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 -2 + 2z = 8 + 0 -2 + 2z = 8 Add '2' to each side of the equation. -2 + 2 + 2z = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2z = 8 + 2 2z = 8 + 2 Combine like terms: 8 + 2 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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