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Simplifying 4(8z + 2) + -3(8 + -1z) = 0 Reorder the terms: 4(2 + 8z) + -3(8 + -1z) = 0 (2 * 4 + 8z * 4) + -3(8 + -1z) = 0 (8 + 32z) + -3(8 + -1z) = 0 8 + 32z + (8 * -3 + -1z * -3) = 0 8 + 32z + (-24 + 3z) = 0 Reorder the terms: 8 + -24 + 32z + 3z = 0 Combine like terms: 8 + -24 = -16 -16 + 32z + 3z = 0 Combine like terms: 32z + 3z = 35z -16 + 35z = 0 Solving -16 + 35z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 35z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 35z = 0 + 16 35z = 0 + 16 Combine like terms: 0 + 16 = 16 35z = 16 Divide each side by '35'. z = 0.4571428571 Simplifying z = 0.4571428571
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