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Simplifying -5(4 + 8z) + -7 = 0 (4 * -5 + 8z * -5) + -7 = 0 (-20 + -40z) + -7 = 0 Reorder the terms: -20 + -7 + -40z = 0 Combine like terms: -20 + -7 = -27 -27 + -40z = 0 Solving -27 + -40z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -40z = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -40z = 0 + 27 -40z = 0 + 27 Combine like terms: 0 + 27 = 27 -40z = 27 Divide each side by '-40'. z = -0.675 Simplifying z = -0.675
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