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Simplifying 7w + -1(3 + 4w) = 27 7w + (3 * -1 + 4w * -1) = 27 7w + (-3 + -4w) = 27 Reorder the terms: -3 + 7w + -4w = 27 Combine like terms: 7w + -4w = 3w -3 + 3w = 27 Solving -3 + 3w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3w = 27 + 3 Combine like terms: -3 + 3 = 0 0 + 3w = 27 + 3 3w = 27 + 3 Combine like terms: 27 + 3 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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