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Simplifying 2w + -6 = -2(w + 9) Reorder the terms: -6 + 2w = -2(w + 9) Reorder the terms: -6 + 2w = -2(9 + w) -6 + 2w = (9 * -2 + w * -2) -6 + 2w = (-18 + -2w) Solving -6 + 2w = -18 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -6 + 2w + 2w = -18 + -2w + 2w Combine like terms: 2w + 2w = 4w -6 + 4w = -18 + -2w + 2w Combine like terms: -2w + 2w = 0 -6 + 4w = -18 + 0 -6 + 4w = -18 Add '6' to each side of the equation. -6 + 6 + 4w = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 4w = -18 + 6 4w = -18 + 6 Combine like terms: -18 + 6 = -12 4w = -12 Divide each side by '4'. w = -3 Simplifying w = -3
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