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Simplifying 38 = 5w + -7 Reorder the terms: 38 = -7 + 5w Solving 38 = -7 + 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. 38 + -5w = -7 + 5w + -5w Combine like terms: 5w + -5w = 0 38 + -5w = -7 + 0 38 + -5w = -7 Add '-38' to each side of the equation. 38 + -38 + -5w = -7 + -38 Combine like terms: 38 + -38 = 0 0 + -5w = -7 + -38 -5w = -7 + -38 Combine like terms: -7 + -38 = -45 -5w = -45 Divide each side by '-5'. w = 9 Simplifying w = 9
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