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Simplifying 4(z + 2) + -1(8 + 8z) = -5z Reorder the terms: 4(2 + z) + -1(8 + 8z) = -5z (2 * 4 + z * 4) + -1(8 + 8z) = -5z (8 + 4z) + -1(8 + 8z) = -5z 8 + 4z + (8 * -1 + 8z * -1) = -5z 8 + 4z + (-8 + -8z) = -5z Reorder the terms: 8 + -8 + 4z + -8z = -5z Combine like terms: 8 + -8 = 0 0 + 4z + -8z = -5z 4z + -8z = -5z Combine like terms: 4z + -8z = -4z -4z = -5z Solving -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. -4z + 5z = -5z + 5z Combine like terms: -4z + 5z = 1z 1z = -5z + 5z Combine like terms: -5z + 5z = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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