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Simplifying 5(4w + -6) + 5(4w + 3) = 0 Reorder the terms: 5(-6 + 4w) + 5(4w + 3) = 0 (-6 * 5 + 4w * 5) + 5(4w + 3) = 0 (-30 + 20w) + 5(4w + 3) = 0 Reorder the terms: -30 + 20w + 5(3 + 4w) = 0 -30 + 20w + (3 * 5 + 4w * 5) = 0 -30 + 20w + (15 + 20w) = 0 Reorder the terms: -30 + 15 + 20w + 20w = 0 Combine like terms: -30 + 15 = -15 -15 + 20w + 20w = 0 Combine like terms: 20w + 20w = 40w -15 + 40w = 0 Solving -15 + 40w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 40w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 40w = 0 + 15 40w = 0 + 15 Combine like terms: 0 + 15 = 15 40w = 15 Divide each side by '40'. w = 0.375 Simplifying w = 0.375
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