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Simplifying -63 = -9(w + 5) Reorder the terms: -63 = -9(5 + w) -63 = (5 * -9 + w * -9) -63 = (-45 + -9w) Solving -63 = -45 + -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. -63 + 9w = -45 + -9w + 9w Combine like terms: -9w + 9w = 0 -63 + 9w = -45 + 0 -63 + 9w = -45 Add '63' to each side of the equation. -63 + 63 + 9w = -45 + 63 Combine like terms: -63 + 63 = 0 0 + 9w = -45 + 63 9w = -45 + 63 Combine like terms: -45 + 63 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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