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Simplifying 5 + 6w = -7w + -7 Reorder the terms: 5 + 6w = -7 + -7w Solving 5 + 6w = -7 + -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 + 6w + 7w = -7 + -7w + 7w Combine like terms: 6w + 7w = 13w 5 + 13w = -7 + -7w + 7w Combine like terms: -7w + 7w = 0 5 + 13w = -7 + 0 5 + 13w = -7 Add '-5' to each side of the equation. 5 + -5 + 13w = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 13w = -7 + -5 13w = -7 + -5 Combine like terms: -7 + -5 = -12 13w = -12 Divide each side by '13'. w = -0.9230769231 Simplifying w = -0.9230769231
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