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Simplifying -26 = -7w + 3(w + -6) Reorder the terms: -26 = -7w + 3(-6 + w) -26 = -7w + (-6 * 3 + w * 3) -26 = -7w + (-18 + 3w) Reorder the terms: -26 = -18 + -7w + 3w Combine like terms: -7w + 3w = -4w -26 = -18 + -4w Solving -26 = -18 + -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 = -18 + -4w + 4w Combine like terms: -4w + 4w = 0 -26 + 4w = -18 + 0 -26 + 4w = -18 Add '26' to each side of the equation. -26 + 26 + 4w = -18 + 26 Combine like terms: -26 + 26 = 0 0 + 4w = -18 + 26 4w = -18 + 26 Combine like terms: -18 + 26 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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