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Simplifying 8w + 7 = 5w + -4 Reorder the terms: 7 + 8w = 5w + -4 Reorder the terms: 7 + 8w = -4 + 5w Solving 7 + 8w = -4 + 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. 7 + 8w + -5w = -4 + 5w + -5w Combine like terms: 8w + -5w = 3w 7 + 3w = -4 + 5w + -5w Combine like terms: 5w + -5w = 0 7 + 3w = -4 + 0 7 + 3w = -4 Add '-7' to each side of the equation. 7 + -7 + 3w = -4 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = -4 + -7 3w = -4 + -7 Combine like terms: -4 + -7 = -11 3w = -11 Divide each side by '3'. w = -3.666666667 Simplifying w = -3.666666667
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