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Simplifying -3(w + -1x) + -1(4x + 5w) = 0 (w * -3 + -1x * -3) + -1(4x + 5w) = 0 (-3w + 3x) + -1(4x + 5w) = 0 Reorder the terms: -3w + 3x + -1(5w + 4x) = 0 -3w + 3x + (5w * -1 + 4x * -1) = 0 -3w + 3x + (-5w + -4x) = 0 Reorder the terms: -3w + -5w + 3x + -4x = 0 Combine like terms: -3w + -5w = -8w -8w + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x -8w + -1x = 0 Solving -8w + -1x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'x' to each side of the equation. -8w + -1x + x = 0 + x Combine like terms: -1x + x = 0 -8w + 0 = 0 + x -8w = 0 + x Remove the zero: -8w = x Divide each side by '-8'. w = -0.125x Simplifying w = -0.125x
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