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Simplifying 3w + 18 = -2(w + -4) Reorder the terms: 18 + 3w = -2(w + -4) Reorder the terms: 18 + 3w = -2(-4 + w) 18 + 3w = (-4 * -2 + w * -2) 18 + 3w = (8 + -2w) Solving 18 + 3w = 8 + -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 + 3w + 2w = 8 + -2w + 2w Combine like terms: 3w + 2w = 5w 18 + 5w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 18 + 5w = 8 + 0 18 + 5w = 8 Add '-18' to each side of the equation. 18 + -18 + 5w = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 5w = 8 + -18 5w = 8 + -18 Combine like terms: 8 + -18 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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