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Simplifying -5(w + 3) = -8w + -18 Reorder the terms: -5(3 + w) = -8w + -18 (3 * -5 + w * -5) = -8w + -18 (-15 + -5w) = -8w + -18 Reorder the terms: -15 + -5w = -18 + -8w Solving -15 + -5w = -18 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -15 + -5w + 8w = -18 + -8w + 8w Combine like terms: -5w + 8w = 3w -15 + 3w = -18 + -8w + 8w Combine like terms: -8w + 8w = 0 -15 + 3w = -18 + 0 -15 + 3w = -18 Add '15' to each side of the equation. -15 + 15 + 3w = -18 + 15 Combine like terms: -15 + 15 = 0 0 + 3w = -18 + 15 3w = -18 + 15 Combine like terms: -18 + 15 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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