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Simplifying 3z + 8 + 6z = 3z + 4z + -10 Reorder the terms: 8 + 3z + 6z = 3z + 4z + -10 Combine like terms: 3z + 6z = 9z 8 + 9z = 3z + 4z + -10 Reorder the terms: 8 + 9z = -10 + 3z + 4z Combine like terms: 3z + 4z = 7z 8 + 9z = -10 + 7z Solving 8 + 9z = -10 + 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. 8 + 9z + -7z = -10 + 7z + -7z Combine like terms: 9z + -7z = 2z 8 + 2z = -10 + 7z + -7z Combine like terms: 7z + -7z = 0 8 + 2z = -10 + 0 8 + 2z = -10 Add '-8' to each side of the equation. 8 + -8 + 2z = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = -10 + -8 2z = -10 + -8 Combine like terms: -10 + -8 = -18 2z = -18 Divide each side by '2'. z = -9 Simplifying z = -9
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