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Simplifying -1 = 3(w + -2) + 2w Reorder the terms: -1 = 3(-2 + w) + 2w -1 = (-2 * 3 + w * 3) + 2w -1 = (-6 + 3w) + 2w Combine like terms: 3w + 2w = 5w -1 = -6 + 5w Solving -1 = -6 + 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. -1 + -5w = -6 + 5w + -5w Combine like terms: 5w + -5w = 0 -1 + -5w = -6 + 0 -1 + -5w = -6 Add '1' to each side of the equation. -1 + 1 + -5w = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -5w = -6 + 1 -5w = -6 + 1 Combine like terms: -6 + 1 = -5 -5w = -5 Divide each side by '-5'. w = 1 Simplifying w = 1
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