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Simplifying -8(z + 5) = -9z Reorder the terms: -8(5 + z) = -9z (5 * -8 + z * -8) = -9z (-40 + -8z) = -9z Solving -40 + -8z = -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. -40 + -8z + 9z = -9z + 9z Combine like terms: -8z + 9z = 1z -40 + 1z = -9z + 9z Combine like terms: -9z + 9z = 0 -40 + 1z = 0 Add '40' to each side of the equation. -40 + 40 + 1z = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 1z = 0 + 40 1z = 0 + 40 Combine like terms: 0 + 40 = 40 1z = 40 Divide each side by '1'. z = 40 Simplifying z = 40
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