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