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Simplifying 7z + 2 = 3z + -6 Reorder the terms: 2 + 7z = 3z + -6 Reorder the terms: 2 + 7z = -6 + 3z Solving 2 + 7z = -6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 2 + 7z + -3z = -6 + 3z + -3z Combine like terms: 7z + -3z = 4z 2 + 4z = -6 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 4z = -6 + 0 2 + 4z = -6 Add '-2' to each side of the equation. 2 + -2 + 4z = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 4z = -6 + -2 4z = -6 + -2 Combine like terms: -6 + -2 = -8 4z = -8 Divide each side by '4'. z = -2 Simplifying z = -2
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