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Simplifying 8w + -21 = -9(w + 8) Reorder the terms: -21 + 8w = -9(w + 8) Reorder the terms: -21 + 8w = -9(8 + w) -21 + 8w = (8 * -9 + w * -9) -21 + 8w = (-72 + -9w) Solving -21 + 8w = -72 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -21 + 8w + 9w = -72 + -9w + 9w Combine like terms: 8w + 9w = 17w -21 + 17w = -72 + -9w + 9w Combine like terms: -9w + 9w = 0 -21 + 17w = -72 + 0 -21 + 17w = -72 Add '21' to each side of the equation. -21 + 21 + 17w = -72 + 21 Combine like terms: -21 + 21 = 0 0 + 17w = -72 + 21 17w = -72 + 21 Combine like terms: -72 + 21 = -51 17w = -51 Divide each side by '17'. w = -3 Simplifying w = -3
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