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Simplifying 15(0.3w + 2) = 5(w + -6) Reorder the terms: 15(2 + 0.3w) = 5(w + -6) (2 * 15 + 0.3w * 15) = 5(w + -6) (30 + 4.5w) = 5(w + -6) Reorder the terms: 30 + 4.5w = 5(-6 + w) 30 + 4.5w = (-6 * 5 + w * 5) 30 + 4.5w = (-30 + 5w) Solving 30 + 4.5w = -30 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 30 + 4.5w + -5w = -30 + 5w + -5w Combine like terms: 4.5w + -5w = -0.5w 30 + -0.5w = -30 + 5w + -5w Combine like terms: 5w + -5w = 0 30 + -0.5w = -30 + 0 30 + -0.5w = -30 Add '-30' to each side of the equation. 30 + -30 + -0.5w = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -0.5w = -30 + -30 -0.5w = -30 + -30 Combine like terms: -30 + -30 = -60 -0.5w = -60 Divide each side by '-0.5'. w = 120 Simplifying w = 120
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