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Simplifying -8(z + -81) + 43 = -45 Reorder the terms: -8(-81 + z) + 43 = -45 (-81 * -8 + z * -8) + 43 = -45 (648 + -8z) + 43 = -45 Reorder the terms: 648 + 43 + -8z = -45 Combine like terms: 648 + 43 = 691 691 + -8z = -45 Solving 691 + -8z = -45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-691' to each side of the equation. 691 + -691 + -8z = -45 + -691 Combine like terms: 691 + -691 = 0 0 + -8z = -45 + -691 -8z = -45 + -691 Combine like terms: -45 + -691 = -736 -8z = -736 Divide each side by '-8'. z = 92 Simplifying z = 92
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