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Simplifying 17 + -9z + 11 = 14 + -6z + -4 Reorder the terms: 17 + 11 + -9z = 14 + -6z + -4 Combine like terms: 17 + 11 = 28 28 + -9z = 14 + -6z + -4 Reorder the terms: 28 + -9z = 14 + -4 + -6z Combine like terms: 14 + -4 = 10 28 + -9z = 10 + -6z Solving 28 + -9z = 10 + -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. 28 + -9z + 6z = 10 + -6z + 6z Combine like terms: -9z + 6z = -3z 28 + -3z = 10 + -6z + 6z Combine like terms: -6z + 6z = 0 28 + -3z = 10 + 0 28 + -3z = 10 Add '-28' to each side of the equation. 28 + -28 + -3z = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -3z = 10 + -28 -3z = 10 + -28 Combine like terms: 10 + -28 = -18 -3z = -18 Divide each side by '-3'. z = 6 Simplifying z = 6
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