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Simplifying 7(w + 6) = 9 + 4w Reorder the terms: 7(6 + w) = 9 + 4w (6 * 7 + w * 7) = 9 + 4w (42 + 7w) = 9 + 4w Solving 42 + 7w = 9 + 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. 42 + 7w + -4w = 9 + 4w + -4w Combine like terms: 7w + -4w = 3w 42 + 3w = 9 + 4w + -4w Combine like terms: 4w + -4w = 0 42 + 3w = 9 + 0 42 + 3w = 9 Add '-42' to each side of the equation. 42 + -42 + 3w = 9 + -42 Combine like terms: 42 + -42 = 0 0 + 3w = 9 + -42 3w = 9 + -42 Combine like terms: 9 + -42 = -33 3w = -33 Divide each side by '3'. w = -11 Simplifying w = -11
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