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Simplifying -7w + -19 = 5w + -5 Reorder the terms: -19 + -7w = 5w + -5 Reorder the terms: -19 + -7w = -5 + 5w Solving -19 + -7w = -5 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -19 + -7w + -5w = -5 + 5w + -5w Combine like terms: -7w + -5w = -12w -19 + -12w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 -19 + -12w = -5 + 0 -19 + -12w = -5 Add '19' to each side of the equation. -19 + 19 + -12w = -5 + 19 Combine like terms: -19 + 19 = 0 0 + -12w = -5 + 19 -12w = -5 + 19 Combine like terms: -5 + 19 = 14 -12w = 14 Divide each side by '-12'. w = -1.166666667 Simplifying w = -1.166666667
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