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Simplifying 4 + -1z = 3z + -6 Reorder the terms: 4 + -1z = -6 + 3z Solving 4 + -1z = -6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 4 + -1z + -3z = -6 + 3z + -3z Combine like terms: -1z + -3z = -4z 4 + -4z = -6 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + -4z = -6 + 0 4 + -4z = -6 Add '-4' to each side of the equation. 4 + -4 + -4z = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -4z = -6 + -4 -4z = -6 + -4 Combine like terms: -6 + -4 = -10 -4z = -10 Divide each side by '-4'. z = 2.5 Simplifying z = 2.5
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