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Simplifying 3z + 2 = 7z + -6 Reorder the terms: 2 + 3z = 7z + -6 Reorder the terms: 2 + 3z = -6 + 7z Solving 2 + 3z = -6 + 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. 2 + 3z + -7z = -6 + 7z + -7z Combine like terms: 3z + -7z = -4z 2 + -4z = -6 + 7z + -7z Combine like terms: 7z + -7z = 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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