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Simplifying -7 = -7w + 4(w + 5) Reorder the terms: -7 = -7w + 4(5 + w) -7 = -7w + (5 * 4 + w * 4) -7 = -7w + (20 + 4w) Reorder the terms: -7 = 20 + -7w + 4w Combine like terms: -7w + 4w = -3w -7 = 20 + -3w Solving -7 = 20 + -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 + 3w = 20 + -3w + 3w Combine like terms: -3w + 3w = 0 -7 + 3w = 20 + 0 -7 + 3w = 20 Add '7' to each side of the equation. -7 + 7 + 3w = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = 20 + 7 3w = 20 + 7 Combine like terms: 20 + 7 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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