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Simplifying 3(w + -6) + -2 = -6(-4w + 5) + -5w Reorder the terms: 3(-6 + w) + -2 = -6(-4w + 5) + -5w (-6 * 3 + w * 3) + -2 = -6(-4w + 5) + -5w (-18 + 3w) + -2 = -6(-4w + 5) + -5w Reorder the terms: -18 + -2 + 3w = -6(-4w + 5) + -5w Combine like terms: -18 + -2 = -20 -20 + 3w = -6(-4w + 5) + -5w Reorder the terms: -20 + 3w = -6(5 + -4w) + -5w -20 + 3w = (5 * -6 + -4w * -6) + -5w -20 + 3w = (-30 + 24w) + -5w Combine like terms: 24w + -5w = 19w -20 + 3w = -30 + 19w Solving -20 + 3w = -30 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -20 + 3w + -19w = -30 + 19w + -19w Combine like terms: 3w + -19w = -16w -20 + -16w = -30 + 19w + -19w Combine like terms: 19w + -19w = 0 -20 + -16w = -30 + 0 -20 + -16w = -30 Add '20' to each side of the equation. -20 + 20 + -16w = -30 + 20 Combine like terms: -20 + 20 = 0 0 + -16w = -30 + 20 -16w = -30 + 20 Combine like terms: -30 + 20 = -10 -16w = -10 Divide each side by '-16'. w = 0.625 Simplifying w = 0.625
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