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Simplifying 9 + -5w = 12 + -1(6w + 7) Reorder the terms: 9 + -5w = 12 + -1(7 + 6w) 9 + -5w = 12 + (7 * -1 + 6w * -1) 9 + -5w = 12 + (-7 + -6w) Combine like terms: 12 + -7 = 5 9 + -5w = 5 + -6w Solving 9 + -5w = 5 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 9 + -5w + 6w = 5 + -6w + 6w Combine like terms: -5w + 6w = 1w 9 + 1w = 5 + -6w + 6w Combine like terms: -6w + 6w = 0 9 + 1w = 5 + 0 9 + 1w = 5 Add '-9' to each side of the equation. 9 + -9 + 1w = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1w = 5 + -9 1w = 5 + -9 Combine like terms: 5 + -9 = -4 1w = -4 Divide each side by '1'. w = -4 Simplifying w = -4
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