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Simplifying 17 + -1(4 + -6z) + 4 = 43 17 + (4 * -1 + -6z * -1) + 4 = 43 17 + (-4 + 6z) + 4 = 43 Reorder the terms: 17 + -4 + 4 + 6z = 43 Combine like terms: 17 + -4 = 13 13 + 4 + 6z = 43 Combine like terms: 13 + 4 = 17 17 + 6z = 43 Solving 17 + 6z = 43 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 6z = 43 + -17 Combine like terms: 17 + -17 = 0 0 + 6z = 43 + -17 6z = 43 + -17 Combine like terms: 43 + -17 = 26 6z = 26 Divide each side by '6'. z = 4.333333333 Simplifying z = 4.333333333
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