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Simplifying 4z + 3z + -17 = 6z Reorder the terms: -17 + 4z + 3z = 6z Combine like terms: 4z + 3z = 7z -17 + 7z = 6z Solving -17 + 7z = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -17 + 7z + -6z = 6z + -6z Combine like terms: 7z + -6z = 1z -17 + 1z = 6z + -6z Combine like terms: 6z + -6z = 0 -17 + 1z = 0 Add '17' to each side of the equation. -17 + 17 + 1z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1z = 0 + 17 1z = 0 + 17 Combine like terms: 0 + 17 = 17 1z = 17 Divide each side by '1'. z = 17 Simplifying z = 17
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