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Simplifying -27 = 4w + -7 Reorder the terms: -27 = -7 + 4w Solving -27 = -7 + 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 + -4w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 -27 + -4w = -7 + 0 -27 + -4w = -7 Add '27' to each side of the equation. -27 + 27 + -4w = -7 + 27 Combine like terms: -27 + 27 = 0 0 + -4w = -7 + 27 -4w = -7 + 27 Combine like terms: -7 + 27 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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