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Simplifying -4w + -20 = -7(w + 2) Reorder the terms: -20 + -4w = -7(w + 2) Reorder the terms: -20 + -4w = -7(2 + w) -20 + -4w = (2 * -7 + w * -7) -20 + -4w = (-14 + -7w) Solving -20 + -4w = -14 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -20 + -4w + 7w = -14 + -7w + 7w Combine like terms: -4w + 7w = 3w -20 + 3w = -14 + -7w + 7w Combine like terms: -7w + 7w = 0 -20 + 3w = -14 + 0 -20 + 3w = -14 Add '20' to each side of the equation. -20 + 20 + 3w = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 3w = -14 + 20 3w = -14 + 20 Combine like terms: -14 + 20 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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