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Simplifying -1(3x + w) + 4(-4w + 3x) = 0 Reorder the terms: -1(w + 3x) + 4(-4w + 3x) = 0 (w * -1 + 3x * -1) + 4(-4w + 3x) = 0 (-1w + -3x) + 4(-4w + 3x) = 0 -1w + -3x + (-4w * 4 + 3x * 4) = 0 -1w + -3x + (-16w + 12x) = 0 Reorder the terms: -1w + -16w + -3x + 12x = 0 Combine like terms: -1w + -16w = -17w -17w + -3x + 12x = 0 Combine like terms: -3x + 12x = 9x -17w + 9x = 0 Solving -17w + 9x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9x' to each side of the equation. -17w + 9x + -9x = 0 + -9x Combine like terms: 9x + -9x = 0 -17w + 0 = 0 + -9x -17w = 0 + -9x Remove the zero: -17w = -9x Divide each side by '-17'. w = 0.5294117647x Simplifying w = 0.5294117647x
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