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Simplifying -34 = 6(w + -5) + -8w Reorder the terms: -34 = 6(-5 + w) + -8w -34 = (-5 * 6 + w * 6) + -8w -34 = (-30 + 6w) + -8w Combine like terms: 6w + -8w = -2w -34 = -30 + -2w Solving -34 = -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. -34 + 2w = -30 + -2w + 2w Combine like terms: -2w + 2w = 0 -34 + 2w = -30 + 0 -34 + 2w = -30 Add '34' to each side of the equation. -34 + 34 + 2w = -30 + 34 Combine like terms: -34 + 34 = 0 0 + 2w = -30 + 34 2w = -30 + 34 Combine like terms: -30 + 34 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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