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Simplifying 12(-4w + 12) + -11(2w + -7) = 0 Reorder the terms: 12(12 + -4w) + -11(2w + -7) = 0 (12 * 12 + -4w * 12) + -11(2w + -7) = 0 (144 + -48w) + -11(2w + -7) = 0 Reorder the terms: 144 + -48w + -11(-7 + 2w) = 0 144 + -48w + (-7 * -11 + 2w * -11) = 0 144 + -48w + (77 + -22w) = 0 Reorder the terms: 144 + 77 + -48w + -22w = 0 Combine like terms: 144 + 77 = 221 221 + -48w + -22w = 0 Combine like terms: -48w + -22w = -70w 221 + -70w = 0 Solving 221 + -70w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-221' to each side of the equation. 221 + -221 + -70w = 0 + -221 Combine like terms: 221 + -221 = 0 0 + -70w = 0 + -221 -70w = 0 + -221 Combine like terms: 0 + -221 = -221 -70w = -221 Divide each side by '-70'. w = 3.157142857 Simplifying w = 3.157142857
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