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Simplifying 7w + 6 + -1w = 9 + -2(w + -3) Reorder the terms: 6 + 7w + -1w = 9 + -2(w + -3) Combine like terms: 7w + -1w = 6w 6 + 6w = 9 + -2(w + -3) Reorder the terms: 6 + 6w = 9 + -2(-3 + w) 6 + 6w = 9 + (-3 * -2 + w * -2) 6 + 6w = 9 + (6 + -2w) Combine like terms: 9 + 6 = 15 6 + 6w = 15 + -2w Solving 6 + 6w = 15 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 6 + 6w + 2w = 15 + -2w + 2w Combine like terms: 6w + 2w = 8w 6 + 8w = 15 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 8w = 15 + 0 6 + 8w = 15 Add '-6' to each side of the equation. 6 + -6 + 8w = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 8w = 15 + -6 8w = 15 + -6 Combine like terms: 15 + -6 = 9 8w = 9 Divide each side by '8'. w = 1.125 Simplifying w = 1.125
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