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Simplifying -2(w + 1) + -4w = -8w + 6 Reorder the terms: -2(1 + w) + -4w = -8w + 6 (1 * -2 + w * -2) + -4w = -8w + 6 (-2 + -2w) + -4w = -8w + 6 Combine like terms: -2w + -4w = -6w -2 + -6w = -8w + 6 Reorder the terms: -2 + -6w = 6 + -8w Solving -2 + -6w = 6 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -2 + -6w + 8w = 6 + -8w + 8w Combine like terms: -6w + 8w = 2w -2 + 2w = 6 + -8w + 8w Combine like terms: -8w + 8w = 0 -2 + 2w = 6 + 0 -2 + 2w = 6 Add '2' to each side of the equation. -2 + 2 + 2w = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = 6 + 2 2w = 6 + 2 Combine like terms: 6 + 2 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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