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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 = 1z 4 + 1z = -5z + 5z Combine like terms: -5z + 5z = 0 4 + 1z = 0 Add '-4' to each side of the equation. 4 + -4 + 1z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 0 + -4 1z = 0 + -4 Combine like terms: 0 + -4 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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