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Simplifying 9(w + -7) + -3w = 46 Reorder the terms: 9(-7 + w) + -3w = 46 (-7 * 9 + w * 9) + -3w = 46 (-63 + 9w) + -3w = 46 Combine like terms: 9w + -3w = 6w -63 + 6w = 46 Solving -63 + 6w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 6w = 46 + 63 Combine like terms: -63 + 63 = 0 0 + 6w = 46 + 63 6w = 46 + 63 Combine like terms: 46 + 63 = 109 6w = 109 Divide each side by '6'. w = 18.16666667 Simplifying w = 18.16666667
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