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Simplifying 3 + 2z + -1 = 7z + 8 + -4z Reorder the terms: 3 + -1 + 2z = 7z + 8 + -4z Combine like terms: 3 + -1 = 2 2 + 2z = 7z + 8 + -4z Reorder the terms: 2 + 2z = 8 + 7z + -4z Combine like terms: 7z + -4z = 3z 2 + 2z = 8 + 3z Solving 2 + 2z = 8 + 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 + 2z + -3z = 8 + 3z + -3z Combine like terms: 2z + -3z = -1z 2 + -1z = 8 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + -1z = 8 + 0 2 + -1z = 8 Add '-2' to each side of the equation. 2 + -2 + -1z = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 8 + -2 -1z = 8 + -2 Combine like terms: 8 + -2 = 6 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6
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