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Simplifying -2w + 46 = 6(w + 1) Reorder the terms: 46 + -2w = 6(w + 1) Reorder the terms: 46 + -2w = 6(1 + w) 46 + -2w = (1 * 6 + w * 6) 46 + -2w = (6 + 6w) Solving 46 + -2w = 6 + 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. 46 + -2w + -6w = 6 + 6w + -6w Combine like terms: -2w + -6w = -8w 46 + -8w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 46 + -8w = 6 + 0 46 + -8w = 6 Add '-46' to each side of the equation. 46 + -46 + -8w = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -8w = 6 + -46 -8w = 6 + -46 Combine like terms: 6 + -46 = -40 -8w = -40 Divide each side by '-8'. w = 5 Simplifying w = 5
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