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Simplifying 1 = 3(w + -3) + -5w Reorder the terms: 1 = 3(-3 + w) + -5w 1 = (-3 * 3 + w * 3) + -5w 1 = (-9 + 3w) + -5w Combine like terms: 3w + -5w = -2w 1 = -9 + -2w Solving 1 = -9 + -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. 1 + 2w = -9 + -2w + 2w Combine like terms: -2w + 2w = 0 1 + 2w = -9 + 0 1 + 2w = -9 Add '-1' to each side of the equation. 1 + -1 + 2w = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = -9 + -1 2w = -9 + -1 Combine like terms: -9 + -1 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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