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Simplifying -3z + 1 = 4z + 8 Reorder the terms: 1 + -3z = 4z + 8 Reorder the terms: 1 + -3z = 8 + 4z Solving 1 + -3z = 8 + 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. 1 + -3z + -4z = 8 + 4z + -4z Combine like terms: -3z + -4z = -7z 1 + -7z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + -7z = 8 + 0 1 + -7z = 8 Add '-1' to each side of the equation. 1 + -1 + -7z = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -7z = 8 + -1 -7z = 8 + -1 Combine like terms: 8 + -1 = 7 -7z = 7 Divide each side by '-7'. z = -1 Simplifying z = -1
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