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Simplifying -34 = 6(w + -4) + -8w Reorder the terms: -34 = 6(-4 + w) + -8w -34 = (-4 * 6 + w * 6) + -8w -34 = (-24 + 6w) + -8w Combine like terms: 6w + -8w = -2w -34 = -24 + -2w Solving -34 = -24 + -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 = -24 + -2w + 2w Combine like terms: -2w + 2w = 0 -34 + 2w = -24 + 0 -34 + 2w = -24 Add '34' to each side of the equation. -34 + 34 + 2w = -24 + 34 Combine like terms: -34 + 34 = 0 0 + 2w = -24 + 34 2w = -24 + 34 Combine like terms: -24 + 34 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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