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Simplifying 4z + (-4) + -8z + 6 = -5z 4z + -4 + -8z + 6 = -5z Reorder the terms: -4 + 6 + 4z + -8z = -5z Combine like terms: -4 + 6 = 2 2 + 4z + -8z = -5z Combine like terms: 4z + -8z = -4z 2 + -4z = -5z Solving 2 + -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. 2 + -4z + 5z = -5z + 5z Combine like terms: -4z + 5z = 1z 2 + 1z = -5z + 5z Combine like terms: -5z + 5z = 0 2 + 1z = 0 Add '-2' to each side of the equation. 2 + -2 + 1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 0 + -2 1z = 0 + -2 Combine like terms: 0 + -2 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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