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Simplifying 3z + 8 + -6z = 7 + 4z + 22 Reorder the terms: 8 + 3z + -6z = 7 + 4z + 22 Combine like terms: 3z + -6z = -3z 8 + -3z = 7 + 4z + 22 Reorder the terms: 8 + -3z = 7 + 22 + 4z Combine like terms: 7 + 22 = 29 8 + -3z = 29 + 4z Solving 8 + -3z = 29 + 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. 8 + -3z + -4z = 29 + 4z + -4z Combine like terms: -3z + -4z = -7z 8 + -7z = 29 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + -7z = 29 + 0 8 + -7z = 29 Add '-8' to each side of the equation. 8 + -8 + -7z = 29 + -8 Combine like terms: 8 + -8 = 0 0 + -7z = 29 + -8 -7z = 29 + -8 Combine like terms: 29 + -8 = 21 -7z = 21 Divide each side by '-7'. z = -3 Simplifying z = -3
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