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Simplifying 3z + -5 = 7 + -1z Reorder the terms: -5 + 3z = 7 + -1z Solving -5 + 3z = 7 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -5 + 3z + z = 7 + -1z + z Combine like terms: 3z + z = 4z -5 + 4z = 7 + -1z + z Combine like terms: -1z + z = 0 -5 + 4z = 7 + 0 -5 + 4z = 7 Add '5' to each side of the equation. -5 + 5 + 4z = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4z = 7 + 5 4z = 7 + 5 Combine like terms: 7 + 5 = 12 4z = 12 Divide each side by '4'. z = 3 Simplifying z = 3
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