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Simplifying 5 + -12w = 10 + -7w Solving 5 + -12w = 10 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 5 + -12w + 7w = 10 + -7w + 7w Combine like terms: -12w + 7w = -5w 5 + -5w = 10 + -7w + 7w Combine like terms: -7w + 7w = 0 5 + -5w = 10 + 0 5 + -5w = 10 Add '-5' to each side of the equation. 5 + -5 + -5w = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -5w = 10 + -5 -5w = 10 + -5 Combine like terms: 10 + -5 = 5 -5w = 5 Divide each side by '-5'. w = -1 Simplifying w = -1
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