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Simplifying 3w + 26 = -2(w + 2) Reorder the terms: 26 + 3w = -2(w + 2) Reorder the terms: 26 + 3w = -2(2 + w) 26 + 3w = (2 * -2 + w * -2) 26 + 3w = (-4 + -2w) Solving 26 + 3w = -4 + -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. 26 + 3w + 2w = -4 + -2w + 2w Combine like terms: 3w + 2w = 5w 26 + 5w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 26 + 5w = -4 + 0 26 + 5w = -4 Add '-26' to each side of the equation. 26 + -26 + 5w = -4 + -26 Combine like terms: 26 + -26 = 0 0 + 5w = -4 + -26 5w = -4 + -26 Combine like terms: -4 + -26 = -30 5w = -30 Divide each side by '5'. w = -6 Simplifying w = -6
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