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Simplifying 4(z + 2) + -1(4 + 8z) = 5z Reorder the terms: 4(2 + z) + -1(4 + 8z) = 5z (2 * 4 + z * 4) + -1(4 + 8z) = 5z (8 + 4z) + -1(4 + 8z) = 5z 8 + 4z + (4 * -1 + 8z * -1) = 5z 8 + 4z + (-4 + -8z) = 5z Reorder the terms: 8 + -4 + 4z + -8z = 5z Combine like terms: 8 + -4 = 4 4 + 4z + -8z = 5z Combine like terms: 4z + -8z = -4z 4 + -4z = 5z Solving 4 + -4z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4 + -4z + -5z = 5z + -5z Combine like terms: -4z + -5z = -9z 4 + -9z = 5z + -5z Combine like terms: 5z + -5z = 0 4 + -9z = 0 Add '-4' to each side of the equation. 4 + -4 + -9z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9z = 0 + -4 -9z = 0 + -4 Combine like terms: 0 + -4 = -4 -9z = -4 Divide each side by '-9'. z = 0.4444444444 Simplifying z = 0.4444444444
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