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Simplifying 2(w + -3) = 4(w + 2) Reorder the terms: 2(-3 + w) = 4(w + 2) (-3 * 2 + w * 2) = 4(w + 2) (-6 + 2w) = 4(w + 2) Reorder the terms: -6 + 2w = 4(2 + w) -6 + 2w = (2 * 4 + w * 4) -6 + 2w = (8 + 4w) Solving -6 + 2w = 8 + 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 = 8 + 4w + -4w Combine like terms: 2w + -4w = -2w -6 + -2w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 -6 + -2w = 8 + 0 -6 + -2w = 8 Add '6' to each side of the equation. -6 + 6 + -2w = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -2w = 8 + 6 -2w = 8 + 6 Combine like terms: 8 + 6 = 14 -2w = 14 Divide each side by '-2'. w = -7 Simplifying w = -7
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