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Simplifying 4w + 18 = -2(w + 9) Reorder the terms: 18 + 4w = -2(w + 9) Reorder the terms: 18 + 4w = -2(9 + w) 18 + 4w = (9 * -2 + w * -2) 18 + 4w = (-18 + -2w) Solving 18 + 4w = -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. 18 + 4w + 2w = -18 + -2w + 2w Combine like terms: 4w + 2w = 6w 18 + 6w = -18 + -2w + 2w Combine like terms: -2w + 2w = 0 18 + 6w = -18 + 0 18 + 6w = -18 Add '-18' to each side of the equation. 18 + -18 + 6w = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 6w = -18 + -18 6w = -18 + -18 Combine like terms: -18 + -18 = -36 6w = -36 Divide each side by '6'. w = -6 Simplifying w = -6
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