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