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