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