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Simplifying 4 + 4z + -1 = 9z + 17 + -3z Reorder the terms: 4 + -1 + 4z = 9z + 17 + -3z Combine like terms: 4 + -1 = 3 3 + 4z = 9z + 17 + -3z Reorder the terms: 3 + 4z = 17 + 9z + -3z Combine like terms: 9z + -3z = 6z 3 + 4z = 17 + 6z Solving 3 + 4z = 17 + 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. 3 + 4z + -6z = 17 + 6z + -6z Combine like terms: 4z + -6z = -2z 3 + -2z = 17 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + -2z = 17 + 0 3 + -2z = 17 Add '-3' to each side of the equation. 3 + -3 + -2z = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = 17 + -3 -2z = 17 + -3 Combine like terms: 17 + -3 = 14 -2z = 14 Divide each side by '-2'. z = -7 Simplifying z = -7
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