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Simplifying 7w + -18 = -2(w + -4) Reorder the terms: -18 + 7w = -2(w + -4) Reorder the terms: -18 + 7w = -2(-4 + w) -18 + 7w = (-4 * -2 + w * -2) -18 + 7w = (8 + -2w) Solving -18 + 7w = 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 + 7w + 2w = 8 + -2w + 2w Combine like terms: 7w + 2w = 9w -18 + 9w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 -18 + 9w = 8 + 0 -18 + 9w = 8 Add '18' to each side of the equation. -18 + 18 + 9w = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 9w = 8 + 18 9w = 8 + 18 Combine like terms: 8 + 18 = 26 9w = 26 Divide each side by '9'. w = 2.888888889 Simplifying w = 2.888888889
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