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Simplifying 8w + 9 = -7(w + 3) Reorder the terms: 9 + 8w = -7(w + 3) Reorder the terms: 9 + 8w = -7(3 + w) 9 + 8w = (3 * -7 + w * -7) 9 + 8w = (-21 + -7w) Solving 9 + 8w = -21 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 9 + 8w + 7w = -21 + -7w + 7w Combine like terms: 8w + 7w = 15w 9 + 15w = -21 + -7w + 7w Combine like terms: -7w + 7w = 0 9 + 15w = -21 + 0 9 + 15w = -21 Add '-9' to each side of the equation. 9 + -9 + 15w = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 15w = -21 + -9 15w = -21 + -9 Combine like terms: -21 + -9 = -30 15w = -30 Divide each side by '15'. w = -2 Simplifying w = -2
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