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Simplifying 10(9 + -1z) = -2z (9 * 10 + -1z * 10) = -2z (90 + -10z) = -2z Solving 90 + -10z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 90 + -10z + 2z = -2z + 2z Combine like terms: -10z + 2z = -8z 90 + -8z = -2z + 2z Combine like terms: -2z + 2z = 0 90 + -8z = 0 Add '-90' to each side of the equation. 90 + -90 + -8z = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -8z = 0 + -90 -8z = 0 + -90 Combine like terms: 0 + -90 = -90 -8z = -90 Divide each side by '-8'. z = 11.25 Simplifying z = 11.25
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