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Simplifying 7z + 3 = 9z + -13 Reorder the terms: 3 + 7z = 9z + -13 Reorder the terms: 3 + 7z = -13 + 9z Solving 3 + 7z = -13 + 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. 3 + 7z + -9z = -13 + 9z + -9z Combine like terms: 7z + -9z = -2z 3 + -2z = -13 + 9z + -9z Combine like terms: 9z + -9z = 0 3 + -2z = -13 + 0 3 + -2z = -13 Add '-3' to each side of the equation. 3 + -3 + -2z = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = -13 + -3 -2z = -13 + -3 Combine like terms: -13 + -3 = -16 -2z = -16 Divide each side by '-2'. z = 8 Simplifying z = 8
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