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Simplifying 7 + -1w = -1 + -3w Solving 7 + -1w = -1 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 7 + -1w + 3w = -1 + -3w + 3w Combine like terms: -1w + 3w = 2w 7 + 2w = -1 + -3w + 3w Combine like terms: -3w + 3w = 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 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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