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Simplifying 4(4w + -6) + -3(w + 5) = 0 Reorder the terms: 4(-6 + 4w) + -3(w + 5) = 0 (-6 * 4 + 4w * 4) + -3(w + 5) = 0 (-24 + 16w) + -3(w + 5) = 0 Reorder the terms: -24 + 16w + -3(5 + w) = 0 -24 + 16w + (5 * -3 + w * -3) = 0 -24 + 16w + (-15 + -3w) = 0 Reorder the terms: -24 + -15 + 16w + -3w = 0 Combine like terms: -24 + -15 = -39 -39 + 16w + -3w = 0 Combine like terms: 16w + -3w = 13w -39 + 13w = 0 Solving -39 + 13w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 13w = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 13w = 0 + 39 13w = 0 + 39 Combine like terms: 0 + 39 = 39 13w = 39 Divide each side by '13'. w = 3 Simplifying w = 3
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