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Simplifying 8(3w + -5z) + (9z + -6w) = 0 (3w * 8 + -5z * 8) + (9z + -6w) = 0 (24w + -40z) + (9z + -6w) = 0 Reorder the terms: 24w + -40z + (-6w + 9z) = 0 Remove parenthesis around (-6w + 9z) 24w + -40z + -6w + 9z = 0 Reorder the terms: 24w + -6w + -40z + 9z = 0 Combine like terms: 24w + -6w = 18w 18w + -40z + 9z = 0 Combine like terms: -40z + 9z = -31z 18w + -31z = 0 Solving 18w + -31z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '31z' to each side of the equation. 18w + -31z + 31z = 0 + 31z Combine like terms: -31z + 31z = 0 18w + 0 = 0 + 31z 18w = 0 + 31z Remove the zero: 18w = 31z Divide each side by '18'. w = 1.722222222z Simplifying w = 1.722222222z
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