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Simplifying -7w + -26 = -3(w + 6) Reorder the terms: -26 + -7w = -3(w + 6) Reorder the terms: -26 + -7w = -3(6 + w) -26 + -7w = (6 * -3 + w * -3) -26 + -7w = (-18 + -3w) Solving -26 + -7w = -18 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -26 + -7w + 3w = -18 + -3w + 3w Combine like terms: -7w + 3w = -4w -26 + -4w = -18 + -3w + 3w Combine like terms: -3w + 3w = 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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