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Simplifying 4z + -3z + -1z + 3z + 2 = 17 Reorder the terms: 2 + 4z + -3z + -1z + 3z = 17 Combine like terms: 4z + -3z = 1z 2 + 1z + -1z + 3z = 17 Combine like terms: 1z + -1z = 0 2 + 0 + 3z = 17 2 + 3z = 17 Solving 2 + 3z = 17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3z = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 3z = 17 + -2 3z = 17 + -2 Combine like terms: 17 + -2 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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