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Simplifying -2w + -18 = -4(w + 9) Reorder the terms: -18 + -2w = -4(w + 9) Reorder the terms: -18 + -2w = -4(9 + w) -18 + -2w = (9 * -4 + w * -4) -18 + -2w = (-36 + -4w) Solving -18 + -2w = -36 + -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. -18 + -2w + 4w = -36 + -4w + 4w Combine like terms: -2w + 4w = 2w -18 + 2w = -36 + -4w + 4w Combine like terms: -4w + 4w = 0 -18 + 2w = -36 + 0 -18 + 2w = -36 Add '18' to each side of the equation. -18 + 18 + 2w = -36 + 18 Combine like terms: -18 + 18 = 0 0 + 2w = -36 + 18 2w = -36 + 18 Combine like terms: -36 + 18 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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