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Simplifying -7w + -27 = -3(w + -3) Reorder the terms: -27 + -7w = -3(w + -3) Reorder the terms: -27 + -7w = -3(-3 + w) -27 + -7w = (-3 * -3 + w * -3) -27 + -7w = (9 + -3w) Solving -27 + -7w = 9 + -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. -27 + -7w + 3w = 9 + -3w + 3w Combine like terms: -7w + 3w = -4w -27 + -4w = 9 + -3w + 3w Combine like terms: -3w + 3w = 0 -27 + -4w = 9 + 0 -27 + -4w = 9 Add '27' to each side of the equation. -27 + 27 + -4w = 9 + 27 Combine like terms: -27 + 27 = 0 0 + -4w = 9 + 27 -4w = 9 + 27 Combine like terms: 9 + 27 = 36 -4w = 36 Divide each side by '-4'. w = -9 Simplifying w = -9
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