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Simplifying 10 = 5(w + 4) + -3w Reorder the terms: 10 = 5(4 + w) + -3w 10 = (4 * 5 + w * 5) + -3w 10 = (20 + 5w) + -3w Combine like terms: 5w + -3w = 2w 10 = 20 + 2w Solving 10 = 20 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 10 + -2w = 20 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + -2w = 20 + 0 10 + -2w = 20 Add '-10' to each side of the equation. 10 + -10 + -2w = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = 20 + -10 -2w = 20 + -10 Combine like terms: 20 + -10 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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