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Simplifying 16 = 9z + -2 + -9(2z + -5) Reorder the terms: 16 = 9z + -2 + -9(-5 + 2z) 16 = 9z + -2 + (-5 * -9 + 2z * -9) 16 = 9z + -2 + (45 + -18z) Reorder the terms: 16 = -2 + 45 + 9z + -18z Combine like terms: -2 + 45 = 43 16 = 43 + 9z + -18z Combine like terms: 9z + -18z = -9z 16 = 43 + -9z Solving 16 = 43 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 16 + 9z = 43 + -9z + 9z Combine like terms: -9z + 9z = 0 16 + 9z = 43 + 0 16 + 9z = 43 Add '-16' to each side of the equation. 16 + -16 + 9z = 43 + -16 Combine like terms: 16 + -16 = 0 0 + 9z = 43 + -16 9z = 43 + -16 Combine like terms: 43 + -16 = 27 9z = 27 Divide each side by '9'. z = 3 Simplifying z = 3
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