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Simplifying -7z + 2 = 5z + -2 + -1z Reorder the terms: 2 + -7z = 5z + -2 + -1z Reorder the terms: 2 + -7z = -2 + 5z + -1z Combine like terms: 5z + -1z = 4z 2 + -7z = -2 + 4z Solving 2 + -7z = -2 + 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. 2 + -7z + -4z = -2 + 4z + -4z Combine like terms: -7z + -4z = -11z 2 + -11z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + -11z = -2 + 0 2 + -11z = -2 Add '-2' to each side of the equation. 2 + -2 + -11z = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -11z = -2 + -2 -11z = -2 + -2 Combine like terms: -2 + -2 = -4 -11z = -4 Divide each side by '-11'. z = 0.3636363636 Simplifying z = 0.3636363636
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