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Simplifying 9(z + 17) = -18 + -10z Reorder the terms: 9(17 + z) = -18 + -10z (17 * 9 + z * 9) = -18 + -10z (153 + 9z) = -18 + -10z Solving 153 + 9z = -18 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 153 + 9z + 10z = -18 + -10z + 10z Combine like terms: 9z + 10z = 19z 153 + 19z = -18 + -10z + 10z Combine like terms: -10z + 10z = 0 153 + 19z = -18 + 0 153 + 19z = -18 Add '-153' to each side of the equation. 153 + -153 + 19z = -18 + -153 Combine like terms: 153 + -153 = 0 0 + 19z = -18 + -153 19z = -18 + -153 Combine like terms: -18 + -153 = -171 19z = -171 Divide each side by '19'. z = -9 Simplifying z = -9
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