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Simplifying -6 + -2w = 5w + 8 Reorder the terms: -6 + -2w = 8 + 5w Solving -6 + -2w = 8 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -6 + -2w + -5w = 8 + 5w + -5w Combine like terms: -2w + -5w = -7w -6 + -7w = 8 + 5w + -5w Combine like terms: 5w + -5w = 0 -6 + -7w = 8 + 0 -6 + -7w = 8 Add '6' to each side of the equation. -6 + 6 + -7w = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -7w = 8 + 6 -7w = 8 + 6 Combine like terms: 8 + 6 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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