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Simplifying 78 = w + 6w + 4 Reorder the terms: 78 = 4 + w + 6w Combine like terms: w + 6w = 7w 78 = 4 + 7w Solving 78 = 4 + 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. 78 + -7w = 4 + 7w + -7w Combine like terms: 7w + -7w = 0 78 + -7w = 4 + 0 78 + -7w = 4 Add '-78' to each side of the equation. 78 + -78 + -7w = 4 + -78 Combine like terms: 78 + -78 = 0 0 + -7w = 4 + -78 -7w = 4 + -78 Combine like terms: 4 + -78 = -74 -7w = -74 Divide each side by '-7'. w = 10.57142857 Simplifying w = 10.57142857
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