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Simplifying -7(w + 1) = -3w + -27 Reorder the terms: -7(1 + w) = -3w + -27 (1 * -7 + w * -7) = -3w + -27 (-7 + -7w) = -3w + -27 Reorder the terms: -7 + -7w = -27 + -3w Solving -7 + -7w = -27 + -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. -7 + -7w + 3w = -27 + -3w + 3w Combine like terms: -7w + 3w = -4w -7 + -4w = -27 + -3w + 3w Combine like terms: -3w + 3w = 0 -7 + -4w = -27 + 0 -7 + -4w = -27 Add '7' to each side of the equation. -7 + 7 + -4w = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -4w = -27 + 7 -4w = -27 + 7 Combine like terms: -27 + 7 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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