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Simplifying 2(4z + -1) = 3(3z + 2) Reorder the terms: 2(-1 + 4z) = 3(3z + 2) (-1 * 2 + 4z * 2) = 3(3z + 2) (-2 + 8z) = 3(3z + 2) Reorder the terms: -2 + 8z = 3(2 + 3z) -2 + 8z = (2 * 3 + 3z * 3) -2 + 8z = (6 + 9z) Solving -2 + 8z = 6 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -2 + 8z + -9z = 6 + 9z + -9z Combine like terms: 8z + -9z = -1z -2 + -1z = 6 + 9z + -9z Combine like terms: 9z + -9z = 0 -2 + -1z = 6 + 0 -2 + -1z = 6 Add '2' to each side of the equation. -2 + 2 + -1z = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1z = 6 + 2 -1z = 6 + 2 Combine like terms: 6 + 2 = 8 -1z = 8 Divide each side by '-1'. z = -8 Simplifying z = -8
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