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Simplifying -8(9z + 5) = 22 + -3z Reorder the terms: -8(5 + 9z) = 22 + -3z (5 * -8 + 9z * -8) = 22 + -3z (-40 + -72z) = 22 + -3z Solving -40 + -72z = 22 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -40 + -72z + 3z = 22 + -3z + 3z Combine like terms: -72z + 3z = -69z -40 + -69z = 22 + -3z + 3z Combine like terms: -3z + 3z = 0 -40 + -69z = 22 + 0 -40 + -69z = 22 Add '40' to each side of the equation. -40 + 40 + -69z = 22 + 40 Combine like terms: -40 + 40 = 0 0 + -69z = 22 + 40 -69z = 22 + 40 Combine like terms: 22 + 40 = 62 -69z = 62 Divide each side by '-69'. z = -0.8985507246 Simplifying z = -0.8985507246
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