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Simplifying (3 + -4w + x)(-6) = 0 Reorder the terms for easier multiplication: -6(3 + -4w + x) = 0 (3 * -6 + -4w * -6 + x * -6) = 0 (-18 + 24w + -6x) = 0 Solving -18 + 24w + -6x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 24w + 18 + -6x = 0 + 18 Reorder the terms: -18 + 18 + 24w + -6x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 24w + -6x = 0 + 18 24w + -6x = 0 + 18 Combine like terms: 0 + 18 = 18 24w + -6x = 18 Add '6x' to each side of the equation. 24w + -6x + 6x = 18 + 6x Combine like terms: -6x + 6x = 0 24w + 0 = 18 + 6x 24w = 18 + 6x Divide each side by '24'. w = 0.75 + 0.25x Simplifying w = 0.75 + 0.25x
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