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