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Simplifying 77 = -7(w + -9) Reorder the terms: 77 = -7(-9 + w) 77 = (-9 * -7 + w * -7) 77 = (63 + -7w) Solving 77 = 63 + -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. 77 + 7w = 63 + -7w + 7w Combine like terms: -7w + 7w = 0 77 + 7w = 63 + 0 77 + 7w = 63 Add '-77' to each side of the equation. 77 + -77 + 7w = 63 + -77 Combine like terms: 77 + -77 = 0 0 + 7w = 63 + -77 7w = 63 + -77 Combine like terms: 63 + -77 = -14 7w = -14 Divide each side by '7'. w = -2 Simplifying w = -2
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