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Simplifying 4 = 7w + 6 Reorder the terms: 4 = 6 + 7w Solving 4 = 6 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 4 + -7w = 6 + 7w + -7w Combine like terms: 7w + -7w = 0 4 + -7w = 6 + 0 4 + -7w = 6 Add '-4' to each side of the equation. 4 + -4 + -7w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -7w = 6 + -4 -7w = 6 + -4 Combine like terms: 6 + -4 = 2 -7w = 2 Divide each side by '-7'. w = -0.2857142857 Simplifying w = -0.2857142857
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