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Simplifying -7w + 5(w + -6) = -18 Reorder the terms: -7w + 5(-6 + w) = -18 -7w + (-6 * 5 + w * 5) = -18 -7w + (-30 + 5w) = -18 Reorder the terms: -30 + -7w + 5w = -18 Combine like terms: -7w + 5w = -2w -30 + -2w = -18 Solving -30 + -2w = -18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -2w = -18 + 30 Combine like terms: -30 + 30 = 0 0 + -2w = -18 + 30 -2w = -18 + 30 Combine like terms: -18 + 30 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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