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Simplifying 4w + 18 = -2(w + 3) Reorder the terms: 18 + 4w = -2(w + 3) Reorder the terms: 18 + 4w = -2(3 + w) 18 + 4w = (3 * -2 + w * -2) 18 + 4w = (-6 + -2w) Solving 18 + 4w = -6 + -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 = -6 + -2w + 2w Combine like terms: 4w + 2w = 6w 18 + 6w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 18 + 6w = -6 + 0 18 + 6w = -6 Add '-18' to each side of the equation. 18 + -18 + 6w = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 6w = -6 + -18 6w = -6 + -18 Combine like terms: -6 + -18 = -24 6w = -24 Divide each side by '6'. w = -4 Simplifying w = -4
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