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Simplifying -16 = 9(5 + -6w) + -7w -16 = (5 * 9 + -6w * 9) + -7w -16 = (45 + -54w) + -7w Combine like terms: -54w + -7w = -61w -16 = 45 + -61w Solving -16 = 45 + -61w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '61w' to each side of the equation. -16 + 61w = 45 + -61w + 61w Combine like terms: -61w + 61w = 0 -16 + 61w = 45 + 0 -16 + 61w = 45 Add '16' to each side of the equation. -16 + 16 + 61w = 45 + 16 Combine like terms: -16 + 16 = 0 0 + 61w = 45 + 16 61w = 45 + 16 Combine like terms: 45 + 16 = 61 61w = 61 Divide each side by '61'. w = 1 Simplifying w = 1
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