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Simplifying -8(z + 5) + 5z = 0 Reorder the terms: -8(5 + z) + 5z = 0 (5 * -8 + z * -8) + 5z = 0 (-40 + -8z) + 5z = 0 Combine like terms: -8z + 5z = -3z -40 + -3z = 0 Solving -40 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -3z = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -3z = 0 + 40 -3z = 0 + 40 Combine like terms: 0 + 40 = 40 -3z = 40 Divide each side by '-3'. z = -13.33333333 Simplifying z = -13.33333333
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