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Simplifying -4(-2x + w) + (5w + -6x) = 0 Reorder the terms: -4(w + -2x) + (5w + -6x) = 0 (w * -4 + -2x * -4) + (5w + -6x) = 0 (-4w + 8x) + (5w + -6x) = 0 Remove parenthesis around (5w + -6x) -4w + 8x + 5w + -6x = 0 Reorder the terms: -4w + 5w + 8x + -6x = 0 Combine like terms: -4w + 5w = 1w 1w + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x 1w + 2x = 0 Solving 1w + 2x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2x' to each side of the equation. 1w + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 1w + 0 = 0 + -2x 1w = 0 + -2x Remove the zero: 1w = -2x Divide each side by '1'. w = -2x Simplifying w = -2x
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