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Simplifying 2[4z + -1] = 3[z + h] Reorder the terms: 2[-1 + 4z] = 3[z + h] [-1 * 2 + 4z * 2] = 3[z + h] [-2 + 8z] = 3[z + h] Reorder the terms: -2 + 8z = 3[h + z] -2 + 8z = [h * 3 + z * 3] -2 + 8z = [3h + 3z] Solving -2 + 8z = 3h + 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 + 8z + -3z = 3h + 3z + -3z Combine like terms: 8z + -3z = 5z -2 + 5z = 3h + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + 5z = 3h + 0 -2 + 5z = 3h Add '2' to each side of the equation. -2 + 2 + 5z = 2 + 3h Combine like terms: -2 + 2 = 0 0 + 5z = 2 + 3h 5z = 2 + 3h Divide each side by '5'. z = 0.4 + 0.6h Simplifying z = 0.4 + 0.6h
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