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Simplifying 9(w + -7) = 3w + -9 Reorder the terms: 9(-7 + w) = 3w + -9 (-7 * 9 + w * 9) = 3w + -9 (-63 + 9w) = 3w + -9 Reorder the terms: -63 + 9w = -9 + 3w Solving -63 + 9w = -9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -63 + 9w + -3w = -9 + 3w + -3w Combine like terms: 9w + -3w = 6w -63 + 6w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 -63 + 6w = -9 + 0 -63 + 6w = -9 Add '63' to each side of the equation. -63 + 63 + 6w = -9 + 63 Combine like terms: -63 + 63 = 0 0 + 6w = -9 + 63 6w = -9 + 63 Combine like terms: -9 + 63 = 54 6w = 54 Divide each side by '6'. w = 9 Simplifying w = 9
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