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Simplifying 6w + -1 = 8w + 7 Reorder the terms: -1 + 6w = 8w + 7 Reorder the terms: -1 + 6w = 7 + 8w Solving -1 + 6w = 7 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -1 + 6w + -8w = 7 + 8w + -8w Combine like terms: 6w + -8w = -2w -1 + -2w = 7 + 8w + -8w Combine like terms: 8w + -8w = 0 -1 + -2w = 7 + 0 -1 + -2w = 7 Add '1' to each side of the equation. -1 + 1 + -2w = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -2w = 7 + 1 -2w = 7 + 1 Combine like terms: 7 + 1 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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