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Simplifying -5(-3w + 2) + -6w = 5(w + -4) + -4 Reorder the terms: -5(2 + -3w) + -6w = 5(w + -4) + -4 (2 * -5 + -3w * -5) + -6w = 5(w + -4) + -4 (-10 + 15w) + -6w = 5(w + -4) + -4 Combine like terms: 15w + -6w = 9w -10 + 9w = 5(w + -4) + -4 Reorder the terms: -10 + 9w = 5(-4 + w) + -4 -10 + 9w = (-4 * 5 + w * 5) + -4 -10 + 9w = (-20 + 5w) + -4 Reorder the terms: -10 + 9w = -20 + -4 + 5w Combine like terms: -20 + -4 = -24 -10 + 9w = -24 + 5w Solving -10 + 9w = -24 + 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. -10 + 9w + -5w = -24 + 5w + -5w Combine like terms: 9w + -5w = 4w -10 + 4w = -24 + 5w + -5w Combine like terms: 5w + -5w = 0 -10 + 4w = -24 + 0 -10 + 4w = -24 Add '10' to each side of the equation. -10 + 10 + 4w = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 4w = -24 + 10 4w = -24 + 10 Combine like terms: -24 + 10 = -14 4w = -14 Divide each side by '4'. w = -3.5 Simplifying w = -3.5
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