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Simplifying 7(w + 1) = 4(w + 3) + -5 Reorder the terms: 7(1 + w) = 4(w + 3) + -5 (1 * 7 + w * 7) = 4(w + 3) + -5 (7 + 7w) = 4(w + 3) + -5 Reorder the terms: 7 + 7w = 4(3 + w) + -5 7 + 7w = (3 * 4 + w * 4) + -5 7 + 7w = (12 + 4w) + -5 Reorder the terms: 7 + 7w = 12 + -5 + 4w Combine like terms: 12 + -5 = 7 7 + 7w = 7 + 4w Add '-7' to each side of the equation. 7 + -7 + 7w = 7 + -7 + 4w Combine like terms: 7 + -7 = 0 0 + 7w = 7 + -7 + 4w 7w = 7 + -7 + 4w Combine like terms: 7 + -7 = 0 7w = 0 + 4w 7w = 4w Solving 7w = 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. 7w + -4w = 4w + -4w Combine like terms: 7w + -4w = 3w 3w = 4w + -4w Combine like terms: 4w + -4w = 0 3w = 0 Divide each side by '3'. w = 0 Simplifying w = 0
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