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Simplifying -18 = 6(w + -7) + 2w Reorder the terms: -18 = 6(-7 + w) + 2w -18 = (-7 * 6 + w * 6) + 2w -18 = (-42 + 6w) + 2w Combine like terms: 6w + 2w = 8w -18 = -42 + 8w Solving -18 = -42 + 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. -18 + -8w = -42 + 8w + -8w Combine like terms: 8w + -8w = 0 -18 + -8w = -42 + 0 -18 + -8w = -42 Add '18' to each side of the equation. -18 + 18 + -8w = -42 + 18 Combine like terms: -18 + 18 = 0 0 + -8w = -42 + 18 -8w = -42 + 18 Combine like terms: -42 + 18 = -24 -8w = -24 Divide each side by '-8'. w = 3 Simplifying w = 3
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