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Simplifying 3(w + -9) = (-4w + -41) Reorder the terms: 3(-9 + w) = (-4w + -41) (-9 * 3 + w * 3) = (-4w + -41) (-27 + 3w) = (-4w + -41) Reorder the terms: -27 + 3w = (-41 + -4w) Remove parenthesis around (-41 + -4w) -27 + 3w = -41 + -4w Solving -27 + 3w = -41 + -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. -27 + 3w + 4w = -41 + -4w + 4w Combine like terms: 3w + 4w = 7w -27 + 7w = -41 + -4w + 4w Combine like terms: -4w + 4w = 0 -27 + 7w = -41 + 0 -27 + 7w = -41 Add '27' to each side of the equation. -27 + 27 + 7w = -41 + 27 Combine like terms: -27 + 27 = 0 0 + 7w = -41 + 27 7w = -41 + 27 Combine like terms: -41 + 27 = -14 7w = -14 Divide each side by '7'. w = -2 Simplifying w = -2
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