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Simplifying 1 = 2w + -7 Reorder the terms: 1 = -7 + 2w Solving 1 = -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 + -2w = -7 + 2w + -2w Combine like terms: 2w + -2w = 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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