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Simplifying -7w + 4(w + 5) = 2 Reorder the terms: -7w + 4(5 + w) = 2 -7w + (5 * 4 + w * 4) = 2 -7w + (20 + 4w) = 2 Reorder the terms: 20 + -7w + 4w = 2 Combine like terms: -7w + 4w = -3w 20 + -3w = 2 Solving 20 + -3w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3w = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -3w = 2 + -20 -3w = 2 + -20 Combine like terms: 2 + -20 = -18 -3w = -18 Divide each side by '-3'. w = 6 Simplifying w = 6
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