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Simplifying 4 + -5w = 9 + -1(6w + 3) Reorder the terms: 4 + -5w = 9 + -1(3 + 6w) 4 + -5w = 9 + (3 * -1 + 6w * -1) 4 + -5w = 9 + (-3 + -6w) Combine like terms: 9 + -3 = 6 4 + -5w = 6 + -6w Solving 4 + -5w = 6 + -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. 4 + -5w + 6w = 6 + -6w + 6w Combine like terms: -5w + 6w = 1w 4 + 1w = 6 + -6w + 6w Combine like terms: -6w + 6w = 0 4 + 1w = 6 + 0 4 + 1w = 6 Add '-4' to each side of the equation. 4 + -4 + 1w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1w = 6 + -4 1w = 6 + -4 Combine like terms: 6 + -4 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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