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Simplifying -2w + -27 = -5(w + 9) Reorder the terms: -27 + -2w = -5(w + 9) Reorder the terms: -27 + -2w = -5(9 + w) -27 + -2w = (9 * -5 + w * -5) -27 + -2w = (-45 + -5w) Solving -27 + -2w = -45 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -27 + -2w + 5w = -45 + -5w + 5w Combine like terms: -2w + 5w = 3w -27 + 3w = -45 + -5w + 5w Combine like terms: -5w + 5w = 0 -27 + 3w = -45 + 0 -27 + 3w = -45 Add '27' to each side of the equation. -27 + 27 + 3w = -45 + 27 Combine like terms: -27 + 27 = 0 0 + 3w = -45 + 27 3w = -45 + 27 Combine like terms: -45 + 27 = -18 3w = -18 Divide each side by '3'. w = -6 Simplifying w = -6
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