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Simplifying 7 + -5w = -2 + -2w Solving 7 + -5w = -2 + -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. 7 + -5w + 2w = -2 + -2w + 2w Combine like terms: -5w + 2w = -3w 7 + -3w = -2 + -2w + 2w Combine like terms: -2w + 2w = 0 7 + -3w = -2 + 0 7 + -3w = -2 Add '-7' to each side of the equation. 7 + -7 + -3w = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = -2 + -7 -3w = -2 + -7 Combine like terms: -2 + -7 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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