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Simplifying 3(2z + -1) = 2(5 + -2z) Reorder the terms: 3(-1 + 2z) = 2(5 + -2z) (-1 * 3 + 2z * 3) = 2(5 + -2z) (-3 + 6z) = 2(5 + -2z) -3 + 6z = (5 * 2 + -2z * 2) -3 + 6z = (10 + -4z) Solving -3 + 6z = 10 + -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. -3 + 6z + 4z = 10 + -4z + 4z Combine like terms: 6z + 4z = 10z -3 + 10z = 10 + -4z + 4z Combine like terms: -4z + 4z = 0 -3 + 10z = 10 + 0 -3 + 10z = 10 Add '3' to each side of the equation. -3 + 3 + 10z = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 10z = 10 + 3 10z = 10 + 3 Combine like terms: 10 + 3 = 13 10z = 13 Divide each side by '10'. z = 1.3 Simplifying z = 1.3
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