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Simplifying 4(z + -5) + 8z + -2 = 0 Reorder the terms: 4(-5 + z) + 8z + -2 = 0 (-5 * 4 + z * 4) + 8z + -2 = 0 (-20 + 4z) + 8z + -2 = 0 Reorder the terms: -20 + -2 + 4z + 8z = 0 Combine like terms: -20 + -2 = -22 -22 + 4z + 8z = 0 Combine like terms: 4z + 8z = 12z -22 + 12z = 0 Solving -22 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 12z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 12z = 0 + 22 12z = 0 + 22 Combine like terms: 0 + 22 = 22 12z = 22 Divide each side by '12'. z = 1.833333333 Simplifying z = 1.833333333
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