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