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Simplifying 3z + -1 = 7z + -17 Reorder the terms: -1 + 3z = 7z + -17 Reorder the terms: -1 + 3z = -17 + 7z Solving -1 + 3z = -17 + 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. -1 + 3z + -7z = -17 + 7z + -7z Combine like terms: 3z + -7z = -4z -1 + -4z = -17 + 7z + -7z Combine like terms: 7z + -7z = 0 -1 + -4z = -17 + 0 -1 + -4z = -17 Add '1' to each side of the equation. -1 + 1 + -4z = -17 + 1 Combine like terms: -1 + 1 = 0 0 + -4z = -17 + 1 -4z = -17 + 1 Combine like terms: -17 + 1 = -16 -4z = -16 Divide each side by '-4'. z = 4 Simplifying z = 4
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