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Simplifying 7z + 1 = 9z + -3 Reorder the terms: 1 + 7z = 9z + -3 Reorder the terms: 1 + 7z = -3 + 9z Solving 1 + 7z = -3 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 1 + 7z + -9z = -3 + 9z + -9z Combine like terms: 7z + -9z = -2z 1 + -2z = -3 + 9z + -9z Combine like terms: 9z + -9z = 0 1 + -2z = -3 + 0 1 + -2z = -3 Add '-1' to each side of the equation. 1 + -1 + -2z = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = -3 + -1 -2z = -3 + -1 Combine like terms: -3 + -1 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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