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Simplifying 3z + 5 = 4z + -1 Reorder the terms: 5 + 3z = 4z + -1 Reorder the terms: 5 + 3z = -1 + 4z Solving 5 + 3z = -1 + 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. 5 + 3z + -4z = -1 + 4z + -4z Combine like terms: 3z + -4z = -1z 5 + -1z = -1 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + -1z = -1 + 0 5 + -1z = -1 Add '-5' to each side of the equation. 5 + -5 + -1z = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = -1 + -5 -1z = -1 + -5 Combine like terms: -1 + -5 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6
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