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Simplifying -4(12w + -2x) + -5(16x + -1w) = 0 (12w * -4 + -2x * -4) + -5(16x + -1w) = 0 (-48w + 8x) + -5(16x + -1w) = 0 Reorder the terms: -48w + 8x + -5(-1w + 16x) = 0 -48w + 8x + (-1w * -5 + 16x * -5) = 0 -48w + 8x + (5w + -80x) = 0 Reorder the terms: -48w + 5w + 8x + -80x = 0 Combine like terms: -48w + 5w = -43w -43w + 8x + -80x = 0 Combine like terms: 8x + -80x = -72x -43w + -72x = 0 Solving -43w + -72x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '72x' to each side of the equation. -43w + -72x + 72x = 0 + 72x Combine like terms: -72x + 72x = 0 -43w + 0 = 0 + 72x -43w = 0 + 72x Remove the zero: -43w = 72x Divide each side by '-43'. w = -1.674418605x Simplifying w = -1.674418605x
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