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Simplifying 16z + 3(24z + -6) + -1(7 + 31z) = 0 Reorder the terms: 16z + 3(-6 + 24z) + -1(7 + 31z) = 0 16z + (-6 * 3 + 24z * 3) + -1(7 + 31z) = 0 16z + (-18 + 72z) + -1(7 + 31z) = 0 16z + -18 + 72z + (7 * -1 + 31z * -1) = 0 16z + -18 + 72z + (-7 + -31z) = 0 Reorder the terms: -18 + -7 + 16z + 72z + -31z = 0 Combine like terms: -18 + -7 = -25 -25 + 16z + 72z + -31z = 0 Combine like terms: 16z + 72z = 88z -25 + 88z + -31z = 0 Combine like terms: 88z + -31z = 57z -25 + 57z = 0 Solving -25 + 57z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 57z = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 57z = 0 + 25 57z = 0 + 25 Combine like terms: 0 + 25 = 25 57z = 25 Divide each side by '57'. z = 0.4385964912 Simplifying z = 0.4385964912
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