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Simplifying 5 + -1z = 4 + 3z Solving 5 + -1z = 4 + 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. 5 + -1z + -3z = 4 + 3z + -3z Combine like terms: -1z + -3z = -4z 5 + -4z = 4 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + -4z = 4 + 0 5 + -4z = 4 Add '-5' to each side of the equation. 5 + -5 + -4z = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = 4 + -5 -4z = 4 + -5 Combine like terms: 4 + -5 = -1 -4z = -1 Divide each side by '-4'. z = 0.25 Simplifying z = 0.25
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