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Simplifying -23 = 3w + 2(w + -4) Reorder the terms: -23 = 3w + 2(-4 + w) -23 = 3w + (-4 * 2 + w * 2) -23 = 3w + (-8 + 2w) Reorder the terms: -23 = -8 + 3w + 2w Combine like terms: 3w + 2w = 5w -23 = -8 + 5w Solving -23 = -8 + 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. -23 + -5w = -8 + 5w + -5w Combine like terms: 5w + -5w = 0 -23 + -5w = -8 + 0 -23 + -5w = -8 Add '23' to each side of the equation. -23 + 23 + -5w = -8 + 23 Combine like terms: -23 + 23 = 0 0 + -5w = -8 + 23 -5w = -8 + 23 Combine like terms: -8 + 23 = 15 -5w = 15 Divide each side by '-5'. w = -3 Simplifying w = -3
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