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Simplifying 5(w + 3) = -3w + 9 + 2w Reorder the terms: 5(3 + w) = -3w + 9 + 2w (3 * 5 + w * 5) = -3w + 9 + 2w (15 + 5w) = -3w + 9 + 2w Reorder the terms: 15 + 5w = 9 + -3w + 2w Combine like terms: -3w + 2w = -1w 15 + 5w = 9 + -1w Solving 15 + 5w = 9 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 15 + 5w + w = 9 + -1w + w Combine like terms: 5w + w = 6w 15 + 6w = 9 + -1w + w Combine like terms: -1w + w = 0 15 + 6w = 9 + 0 15 + 6w = 9 Add '-15' to each side of the equation. 15 + -15 + 6w = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 6w = 9 + -15 6w = 9 + -15 Combine like terms: 9 + -15 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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