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Simplifying 3w + -7 = 9 + -3w Reorder the terms: -7 + 3w = 9 + -3w Solving -7 + 3w = 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. -7 + 3w + 3w = 9 + -3w + 3w Combine like terms: 3w + 3w = 6w -7 + 6w = 9 + -3w + 3w Combine like terms: -3w + 3w = 0 -7 + 6w = 9 + 0 -7 + 6w = 9 Add '7' to each side of the equation. -7 + 7 + 6w = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 6w = 9 + 7 6w = 9 + 7 Combine like terms: 9 + 7 = 16 6w = 16 Divide each side by '6'. w = 2.666666667 Simplifying w = 2.666666667
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