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Simplifying -18 = -5w + 3(w + -8) Reorder the terms: -18 = -5w + 3(-8 + w) -18 = -5w + (-8 * 3 + w * 3) -18 = -5w + (-24 + 3w) Reorder the terms: -18 = -24 + -5w + 3w Combine like terms: -5w + 3w = -2w -18 = -24 + -2w Solving -18 = -24 + -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 + 2w = -24 + -2w + 2w Combine like terms: -2w + 2w = 0 -18 + 2w = -24 + 0 -18 + 2w = -24 Add '18' to each side of the equation. -18 + 18 + 2w = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 2w = -24 + 18 2w = -24 + 18 Combine like terms: -24 + 18 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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