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Simplifying 2w + -3 + 3(w + -4) = -5(w + -6) Reorder the terms: 2w + -3 + 3(-4 + w) = -5(w + -6) 2w + -3 + (-4 * 3 + w * 3) = -5(w + -6) 2w + -3 + (-12 + 3w) = -5(w + -6) Reorder the terms: -3 + -12 + 2w + 3w = -5(w + -6) Combine like terms: -3 + -12 = -15 -15 + 2w + 3w = -5(w + -6) Combine like terms: 2w + 3w = 5w -15 + 5w = -5(w + -6) Reorder the terms: -15 + 5w = -5(-6 + w) -15 + 5w = (-6 * -5 + w * -5) -15 + 5w = (30 + -5w) Solving -15 + 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. -15 + 5w + 5w = 30 + -5w + 5w Combine like terms: 5w + 5w = 10w -15 + 10w = 30 + -5w + 5w Combine like terms: -5w + 5w = 0 -15 + 10w = 30 + 0 -15 + 10w = 30 Add '15' to each side of the equation. -15 + 15 + 10w = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 10w = 30 + 15 10w = 30 + 15 Combine like terms: 30 + 15 = 45 10w = 45 Divide each side by '10'. w = 4.5 Simplifying w = 4.5
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