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