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Simplifying -18 = 6(w + -5) + -8w Reorder the terms: -18 = 6(-5 + w) + -8w -18 = (-5 * 6 + w * 6) + -8w -18 = (-30 + 6w) + -8w Combine like terms: 6w + -8w = -2w -18 = -30 + -2w Solving -18 = -30 + -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 = -30 + -2w + 2w Combine like terms: -2w + 2w = 0 -18 + 2w = -30 + 0 -18 + 2w = -30 Add '18' to each side of the equation. -18 + 18 + 2w = -30 + 18 Combine like terms: -18 + 18 = 0 0 + 2w = -30 + 18 2w = -30 + 18 Combine like terms: -30 + 18 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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