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Simplifying 8 + 8z + -6 = 7z + 30 + -3z Reorder the terms: 8 + -6 + 8z = 7z + 30 + -3z Combine like terms: 8 + -6 = 2 2 + 8z = 7z + 30 + -3z Reorder the terms: 2 + 8z = 30 + 7z + -3z Combine like terms: 7z + -3z = 4z 2 + 8z = 30 + 4z Solving 2 + 8z = 30 + 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 + 8z + -4z = 30 + 4z + -4z Combine like terms: 8z + -4z = 4z 2 + 4z = 30 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + 4z = 30 + 0 2 + 4z = 30 Add '-2' to each side of the equation. 2 + -2 + 4z = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 4z = 30 + -2 4z = 30 + -2 Combine like terms: 30 + -2 = 28 4z = 28 Divide each side by '4'. z = 7 Simplifying z = 7
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