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Simplifying 9w + -38 = 2(w + 2) Reorder the terms: -38 + 9w = 2(w + 2) Reorder the terms: -38 + 9w = 2(2 + w) -38 + 9w = (2 * 2 + w * 2) -38 + 9w = (4 + 2w) Solving -38 + 9w = 4 + 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. -38 + 9w + -2w = 4 + 2w + -2w Combine like terms: 9w + -2w = 7w -38 + 7w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 -38 + 7w = 4 + 0 -38 + 7w = 4 Add '38' to each side of the equation. -38 + 38 + 7w = 4 + 38 Combine like terms: -38 + 38 = 0 0 + 7w = 4 + 38 7w = 4 + 38 Combine like terms: 4 + 38 = 42 7w = 42 Divide each side by '7'. w = 6 Simplifying w = 6
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