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Simplifying 3w + 7 = 5w + -9 Reorder the terms: 7 + 3w = 5w + -9 Reorder the terms: 7 + 3w = -9 + 5w Solving 7 + 3w = -9 + 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 + 3w + -5w = -9 + 5w + -5w Combine like terms: 3w + -5w = -2w 7 + -2w = -9 + 5w + -5w Combine like terms: 5w + -5w = 0 7 + -2w = -9 + 0 7 + -2w = -9 Add '-7' to each side of the equation. 7 + -7 + -2w = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = -9 + -7 -2w = -9 + -7 Combine like terms: -9 + -7 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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