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Simplifying 3(w + -3) + -5w = -23 Reorder the terms: 3(-3 + w) + -5w = -23 (-3 * 3 + w * 3) + -5w = -23 (-9 + 3w) + -5w = -23 Combine like terms: 3w + -5w = -2w -9 + -2w = -23 Solving -9 + -2w = -23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2w = -23 + 9 Combine like terms: -9 + 9 = 0 0 + -2w = -23 + 9 -2w = -23 + 9 Combine like terms: -23 + 9 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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