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Simplifying -2w + 46 = 7(w + 4) Reorder the terms: 46 + -2w = 7(w + 4) Reorder the terms: 46 + -2w = 7(4 + w) 46 + -2w = (4 * 7 + w * 7) 46 + -2w = (28 + 7w) Solving 46 + -2w = 28 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 46 + -2w + -7w = 28 + 7w + -7w Combine like terms: -2w + -7w = -9w 46 + -9w = 28 + 7w + -7w Combine like terms: 7w + -7w = 0 46 + -9w = 28 + 0 46 + -9w = 28 Add '-46' to each side of the equation. 46 + -46 + -9w = 28 + -46 Combine like terms: 46 + -46 = 0 0 + -9w = 28 + -46 -9w = 28 + -46 Combine like terms: 28 + -46 = -18 -9w = -18 Divide each side by '-9'. w = 2 Simplifying w = 2
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