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Simplifying w + -2 = -9 + 3w + 5w Reorder the terms: -2 + w = -9 + 3w + 5w Combine like terms: 3w + 5w = 8w -2 + w = -9 + 8w Solving -2 + w = -9 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -2 + w + -8w = -9 + 8w + -8w Combine like terms: w + -8w = -7w -2 + -7w = -9 + 8w + -8w Combine like terms: 8w + -8w = 0 -2 + -7w = -9 + 0 -2 + -7w = -9 Add '2' to each side of the equation. -2 + 2 + -7w = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -7w = -9 + 2 -7w = -9 + 2 Combine like terms: -9 + 2 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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