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Simplifying 26 = 3(w + -2) + -7w Reorder the terms: 26 = 3(-2 + w) + -7w 26 = (-2 * 3 + w * 3) + -7w 26 = (-6 + 3w) + -7w Combine like terms: 3w + -7w = -4w 26 = -6 + -4w Solving 26 = -6 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 26 + 4w = -6 + -4w + 4w Combine like terms: -4w + 4w = 0 26 + 4w = -6 + 0 26 + 4w = -6 Add '-26' to each side of the equation. 26 + -26 + 4w = -6 + -26 Combine like terms: 26 + -26 = 0 0 + 4w = -6 + -26 4w = -6 + -26 Combine like terms: -6 + -26 = -32 4w = -32 Divide each side by '4'. w = -8 Simplifying w = -8
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