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Simplifying 8w + 7 = 6w + 1 Reorder the terms: 7 + 8w = 6w + 1 Reorder the terms: 7 + 8w = 1 + 6w Solving 7 + 8w = 1 + 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. 7 + 8w + -6w = 1 + 6w + -6w Combine like terms: 8w + -6w = 2w 7 + 2w = 1 + 6w + -6w Combine like terms: 6w + -6w = 0 7 + 2w = 1 + 0 7 + 2w = 1 Add '-7' to each side of the equation. 7 + -7 + 2w = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 1 + -7 2w = 1 + -7 Combine like terms: 1 + -7 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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