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Simplifying 6 + -4z + 2 = 5z + -2 + -1z Reorder the terms: 6 + 2 + -4z = 5z + -2 + -1z Combine like terms: 6 + 2 = 8 8 + -4z = 5z + -2 + -1z Reorder the terms: 8 + -4z = -2 + 5z + -1z Combine like terms: 5z + -1z = 4z 8 + -4z = -2 + 4z Solving 8 + -4z = -2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 8 + -4z + -4z = -2 + 4z + -4z Combine like terms: -4z + -4z = -8z 8 + -8z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + -8z = -2 + 0 8 + -8z = -2 Add '-8' to each side of the equation. 8 + -8 + -8z = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -8z = -2 + -8 -8z = -2 + -8 Combine like terms: -2 + -8 = -10 -8z = -10 Divide each side by '-8'. z = 1.25 Simplifying z = 1.25
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