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Simplifying -2(w + 1) = 4w + 46 Reorder the terms: -2(1 + w) = 4w + 46 (1 * -2 + w * -2) = 4w + 46 (-2 + -2w) = 4w + 46 Reorder the terms: -2 + -2w = 46 + 4w Solving -2 + -2w = 46 + 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. -2 + -2w + -4w = 46 + 4w + -4w Combine like terms: -2w + -4w = -6w -2 + -6w = 46 + 4w + -4w Combine like terms: 4w + -4w = 0 -2 + -6w = 46 + 0 -2 + -6w = 46 Add '2' to each side of the equation. -2 + 2 + -6w = 46 + 2 Combine like terms: -2 + 2 = 0 0 + -6w = 46 + 2 -6w = 46 + 2 Combine like terms: 46 + 2 = 48 -6w = 48 Divide each side by '-6'. w = -8 Simplifying w = -8
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