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Simplifying 8w + 7 = 3w + -8 Reorder the terms: 7 + 8w = 3w + -8 Reorder the terms: 7 + 8w = -8 + 3w Solving 7 + 8w = -8 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 7 + 8w + -3w = -8 + 3w + -3w Combine like terms: 8w + -3w = 5w 7 + 5w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 7 + 5w = -8 + 0 7 + 5w = -8 Add '-7' to each side of the equation. 7 + -7 + 5w = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 5w = -8 + -7 5w = -8 + -7 Combine like terms: -8 + -7 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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