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Simplifying -34 = 3(w + -6) + -5w Reorder the terms: -34 = 3(-6 + w) + -5w -34 = (-6 * 3 + w * 3) + -5w -34 = (-18 + 3w) + -5w Combine like terms: 3w + -5w = -2w -34 = -18 + -2w Solving -34 = -18 + -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. -34 + 2w = -18 + -2w + 2w Combine like terms: -2w + 2w = 0 -34 + 2w = -18 + 0 -34 + 2w = -18 Add '34' to each side of the equation. -34 + 34 + 2w = -18 + 34 Combine like terms: -34 + 34 = 0 0 + 2w = -18 + 34 2w = -18 + 34 Combine like terms: -18 + 34 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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