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Simplifying 2[w + -1(9 + -2w)] = 4(2w + 5) 2[w + (9 * -1 + -2w * -1)] = 4(2w + 5) 2[w + (-9 + 2w)] = 4(2w + 5) Reorder the terms: 2[-9 + w + 2w] = 4(2w + 5) Combine like terms: w + 2w = 3w 2[-9 + 3w] = 4(2w + 5) [-9 * 2 + 3w * 2] = 4(2w + 5) [-18 + 6w] = 4(2w + 5) Reorder the terms: -18 + 6w = 4(5 + 2w) -18 + 6w = (5 * 4 + 2w * 4) -18 + 6w = (20 + 8w) Solving -18 + 6w = 20 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -18 + 6w + -8w = 20 + 8w + -8w Combine like terms: 6w + -8w = -2w -18 + -2w = 20 + 8w + -8w Combine like terms: 8w + -8w = 0 -18 + -2w = 20 + 0 -18 + -2w = 20 Add '18' to each side of the equation. -18 + 18 + -2w = 20 + 18 Combine like terms: -18 + 18 = 0 0 + -2w = 20 + 18 -2w = 20 + 18 Combine like terms: 20 + 18 = 38 -2w = 38 Divide each side by '-2'. w = -19 Simplifying w = -19
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