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Simplifying -2 = 4(w + 7) + -7w Reorder the terms: -2 = 4(7 + w) + -7w -2 = (7 * 4 + w * 4) + -7w -2 = (28 + 4w) + -7w Combine like terms: 4w + -7w = -3w -2 = 28 + -3w Solving -2 = 28 + -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. -2 + 3w = 28 + -3w + 3w Combine like terms: -3w + 3w = 0 -2 + 3w = 28 + 0 -2 + 3w = 28 Add '2' to each side of the equation. -2 + 2 + 3w = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = 28 + 2 3w = 28 + 2 Combine like terms: 28 + 2 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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