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Simplifying 5(w + 2) + -3(w + -4) = 0 Reorder the terms: 5(2 + w) + -3(w + -4) = 0 (2 * 5 + w * 5) + -3(w + -4) = 0 (10 + 5w) + -3(w + -4) = 0 Reorder the terms: 10 + 5w + -3(-4 + w) = 0 10 + 5w + (-4 * -3 + w * -3) = 0 10 + 5w + (12 + -3w) = 0 Reorder the terms: 10 + 12 + 5w + -3w = 0 Combine like terms: 10 + 12 = 22 22 + 5w + -3w = 0 Combine like terms: 5w + -3w = 2w 22 + 2w = 0 Solving 22 + 2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2w = 0 + -22 2w = 0 + -22 Combine like terms: 0 + -22 = -22 2w = -22 Divide each side by '2'. w = -11 Simplifying w = -11
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