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Simplifying 5w + 4(w + -2) = 4 + 3(2 + w) Reorder the terms: 5w + 4(-2 + w) = 4 + 3(2 + w) 5w + (-2 * 4 + w * 4) = 4 + 3(2 + w) 5w + (-8 + 4w) = 4 + 3(2 + w) Reorder the terms: -8 + 5w + 4w = 4 + 3(2 + w) Combine like terms: 5w + 4w = 9w -8 + 9w = 4 + 3(2 + w) -8 + 9w = 4 + (2 * 3 + w * 3) -8 + 9w = 4 + (6 + 3w) Combine like terms: 4 + 6 = 10 -8 + 9w = 10 + 3w Solving -8 + 9w = 10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -8 + 9w + -3w = 10 + 3w + -3w Combine like terms: 9w + -3w = 6w -8 + 6w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + 6w = 10 + 0 -8 + 6w = 10 Add '8' to each side of the equation. -8 + 8 + 6w = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6w = 10 + 8 6w = 10 + 8 Combine like terms: 10 + 8 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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