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Simplifying 7z + 8 + -4z = 1 + 2z + 1 Reorder the terms: 8 + 7z + -4z = 1 + 2z + 1 Combine like terms: 7z + -4z = 3z 8 + 3z = 1 + 2z + 1 Reorder the terms: 8 + 3z = 1 + 1 + 2z Combine like terms: 1 + 1 = 2 8 + 3z = 2 + 2z Solving 8 + 3z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 8 + 3z + -2z = 2 + 2z + -2z Combine like terms: 3z + -2z = 1z 8 + 1z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 8 + 1z = 2 + 0 8 + 1z = 2 Add '-8' to each side of the equation. 8 + -8 + 1z = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 2 + -8 1z = 2 + -8 Combine like terms: 2 + -8 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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