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Simplifying -2w + -3(4z + -5w) + -32 = 0 Reorder the terms: -2w + -3(-5w + 4z) + -32 = 0 -2w + (-5w * -3 + 4z * -3) + -32 = 0 -2w + (15w + -12z) + -32 = 0 Reorder the terms: -32 + -2w + 15w + -12z = 0 Combine like terms: -2w + 15w = 13w -32 + 13w + -12z = 0 Solving -32 + 13w + -12z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 13w + 32 + -12z = 0 + 32 Reorder the terms: -32 + 32 + 13w + -12z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 13w + -12z = 0 + 32 13w + -12z = 0 + 32 Combine like terms: 0 + 32 = 32 13w + -12z = 32 Add '12z' to each side of the equation. 13w + -12z + 12z = 32 + 12z Combine like terms: -12z + 12z = 0 13w + 0 = 32 + 12z 13w = 32 + 12z Divide each side by '13'. w = 2.461538462 + 0.9230769231z Simplifying w = 2.461538462 + 0.9230769231z
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