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Simplifying -7 = 5w + 3(w + 3) Reorder the terms: -7 = 5w + 3(3 + w) -7 = 5w + (3 * 3 + w * 3) -7 = 5w + (9 + 3w) Reorder the terms: -7 = 9 + 5w + 3w Combine like terms: 5w + 3w = 8w -7 = 9 + 8w Solving -7 = 9 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -7 + -8w = 9 + 8w + -8w Combine like terms: 8w + -8w = 0 -7 + -8w = 9 + 0 -7 + -8w = 9 Add '7' to each side of the equation. -7 + 7 + -8w = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -8w = 9 + 7 -8w = 9 + 7 Combine like terms: 9 + 7 = 16 -8w = 16 Divide each side by '-8'. w = -2 Simplifying w = -2
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