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Simplifying 2w + -8 = 3(w + -2) + w Reorder the terms: -8 + 2w = 3(w + -2) + w Reorder the terms: -8 + 2w = 3(-2 + w) + w -8 + 2w = (-2 * 3 + w * 3) + w -8 + 2w = (-6 + 3w) + w Combine like terms: 3w + w = 4w -8 + 2w = -6 + 4w Solving -8 + 2w = -6 + 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. -8 + 2w + -4w = -6 + 4w + -4w Combine like terms: 2w + -4w = -2w -8 + -2w = -6 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + -2w = -6 + 0 -8 + -2w = -6 Add '8' to each side of the equation. -8 + 8 + -2w = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -2w = -6 + 8 -2w = -6 + 8 Combine like terms: -6 + 8 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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