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Simplifying 2(3z + -1) = 3(z + 2) Reorder the terms: 2(-1 + 3z) = 3(z + 2) (-1 * 2 + 3z * 2) = 3(z + 2) (-2 + 6z) = 3(z + 2) Reorder the terms: -2 + 6z = 3(2 + z) -2 + 6z = (2 * 3 + z * 3) -2 + 6z = (6 + 3z) Solving -2 + 6z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -2 + 6z + -3z = 6 + 3z + -3z Combine like terms: 6z + -3z = 3z -2 + 3z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + 3z = 6 + 0 -2 + 3z = 6 Add '2' to each side of the equation. -2 + 2 + 3z = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 3z = 6 + 2 3z = 6 + 2 Combine like terms: 6 + 2 = 8 3z = 8 Divide each side by '3'. z = 2.666666667 Simplifying z = 2.666666667
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