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Simplifying 8(2w + -6) + 4(-1 + -5x) = 0 Reorder the terms: 8(-6 + 2w) + 4(-1 + -5x) = 0 (-6 * 8 + 2w * 8) + 4(-1 + -5x) = 0 (-48 + 16w) + 4(-1 + -5x) = 0 -48 + 16w + (-1 * 4 + -5x * 4) = 0 -48 + 16w + (-4 + -20x) = 0 Reorder the terms: -48 + -4 + 16w + -20x = 0 Combine like terms: -48 + -4 = -52 -52 + 16w + -20x = 0 Solving -52 + 16w + -20x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 16w + 52 + -20x = 0 + 52 Reorder the terms: -52 + 52 + 16w + -20x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 16w + -20x = 0 + 52 16w + -20x = 0 + 52 Combine like terms: 0 + 52 = 52 16w + -20x = 52 Add '20x' to each side of the equation. 16w + -20x + 20x = 52 + 20x Combine like terms: -20x + 20x = 0 16w + 0 = 52 + 20x 16w = 52 + 20x Divide each side by '16'. w = 3.25 + 1.25x Simplifying w = 3.25 + 1.25x
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