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Simplifying 26 = 3(w + -8) + 7w Reorder the terms: 26 = 3(-8 + w) + 7w 26 = (-8 * 3 + w * 3) + 7w 26 = (-24 + 3w) + 7w Combine like terms: 3w + 7w = 10w 26 = -24 + 10w Solving 26 = -24 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 26 + -10w = -24 + 10w + -10w Combine like terms: 10w + -10w = 0 26 + -10w = -24 + 0 26 + -10w = -24 Add '-26' to each side of the equation. 26 + -26 + -10w = -24 + -26 Combine like terms: 26 + -26 = 0 0 + -10w = -24 + -26 -10w = -24 + -26 Combine like terms: -24 + -26 = -50 -10w = -50 Divide each side by '-10'. w = 5 Simplifying w = 5
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