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Simplifying 7(w + 1) = 4w + 37 Reorder the terms: 7(1 + w) = 4w + 37 (1 * 7 + w * 7) = 4w + 37 (7 + 7w) = 4w + 37 Reorder the terms: 7 + 7w = 37 + 4w Solving 7 + 7w = 37 + 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. 7 + 7w + -4w = 37 + 4w + -4w Combine like terms: 7w + -4w = 3w 7 + 3w = 37 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + 3w = 37 + 0 7 + 3w = 37 Add '-7' to each side of the equation. 7 + -7 + 3w = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = 37 + -7 3w = 37 + -7 Combine like terms: 37 + -7 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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