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Simplifying -7(w + -2) = -4w + 20 Reorder the terms: -7(-2 + w) = -4w + 20 (-2 * -7 + w * -7) = -4w + 20 (14 + -7w) = -4w + 20 Reorder the terms: 14 + -7w = 20 + -4w Solving 14 + -7w = 20 + -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. 14 + -7w + 4w = 20 + -4w + 4w Combine like terms: -7w + 4w = -3w 14 + -3w = 20 + -4w + 4w Combine like terms: -4w + 4w = 0 14 + -3w = 20 + 0 14 + -3w = 20 Add '-14' to each side of the equation. 14 + -14 + -3w = 20 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = 20 + -14 -3w = 20 + -14 Combine like terms: 20 + -14 = 6 -3w = 6 Divide each side by '-3'. w = -2 Simplifying w = -2
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