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