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Simplifying -5(3w + -2) + 5w = 6(w + 2) Reorder the terms: -5(-2 + 3w) + 5w = 6(w + 2) (-2 * -5 + 3w * -5) + 5w = 6(w + 2) (10 + -15w) + 5w = 6(w + 2) Combine like terms: -15w + 5w = -10w 10 + -10w = 6(w + 2) Reorder the terms: 10 + -10w = 6(2 + w) 10 + -10w = (2 * 6 + w * 6) 10 + -10w = (12 + 6w) Solving 10 + -10w = 12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 10 + -10w + -6w = 12 + 6w + -6w Combine like terms: -10w + -6w = -16w 10 + -16w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + -16w = 12 + 0 10 + -16w = 12 Add '-10' to each side of the equation. 10 + -10 + -16w = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -16w = 12 + -10 -16w = 12 + -10 Combine like terms: 12 + -10 = 2 -16w = 2 Divide each side by '-16'. w = -0.125 Simplifying w = -0.125
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