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Simplifying 2(z + -8) + -5(z + -4) = 0 Reorder the terms: 2(-8 + z) + -5(z + -4) = 0 (-8 * 2 + z * 2) + -5(z + -4) = 0 (-16 + 2z) + -5(z + -4) = 0 Reorder the terms: -16 + 2z + -5(-4 + z) = 0 -16 + 2z + (-4 * -5 + z * -5) = 0 -16 + 2z + (20 + -5z) = 0 Reorder the terms: -16 + 20 + 2z + -5z = 0 Combine like terms: -16 + 20 = 4 4 + 2z + -5z = 0 Combine like terms: 2z + -5z = -3z 4 + -3z = 0 Solving 4 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3z = 0 + -4 -3z = 0 + -4 Combine like terms: 0 + -4 = -4 -3z = -4 Divide each side by '-3'. z = 1.333333333 Simplifying z = 1.333333333
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