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Simplifying 39 = 6w + 4.6 + -7.6 Reorder the terms: 39 = 4.6 + -7.6 + 6w Combine like terms: 4.6 + -7.6 = -3 39 = -3 + 6w Solving 39 = -3 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 39 + -6w = -3 + 6w + -6w Combine like terms: 6w + -6w = 0 39 + -6w = -3 + 0 39 + -6w = -3 Add '-39' to each side of the equation. 39 + -39 + -6w = -3 + -39 Combine like terms: 39 + -39 = 0 0 + -6w = -3 + -39 -6w = -3 + -39 Combine like terms: -3 + -39 = -42 -6w = -42 Divide each side by '-6'. w = 7 Simplifying w = 7
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