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Simplifying 5z + 4 + -2z = 6 + 2z + -8 Reorder the terms: 4 + 5z + -2z = 6 + 2z + -8 Combine like terms: 5z + -2z = 3z 4 + 3z = 6 + 2z + -8 Reorder the terms: 4 + 3z = 6 + -8 + 2z Combine like terms: 6 + -8 = -2 4 + 3z = -2 + 2z Solving 4 + 3z = -2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 4 + 3z + -2z = -2 + 2z + -2z Combine like terms: 3z + -2z = 1z 4 + 1z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 1z = -2 + 0 4 + 1z = -2 Add '-4' to each side of the equation. 4 + -4 + 1z = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = -2 + -4 1z = -2 + -4 Combine like terms: -2 + -4 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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