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Simplifying w + -7 = w + 5 + -7w + -1 Reorder the terms: -7 + w = w + 5 + -7w + -1 Reorder the terms: -7 + w = 5 + -1 + w + -7w Combine like terms: 5 + -1 = 4 -7 + w = 4 + w + -7w Combine like terms: w + -7w = -6w -7 + w = 4 + -6w Solving -7 + w = 4 + -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. -7 + w + 6w = 4 + -6w + 6w Combine like terms: w + 6w = 7w -7 + 7w = 4 + -6w + 6w Combine like terms: -6w + 6w = 0 -7 + 7w = 4 + 0 -7 + 7w = 4 Add '7' to each side of the equation. -7 + 7 + 7w = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 7w = 4 + 7 7w = 4 + 7 Combine like terms: 4 + 7 = 11 7w = 11 Divide each side by '7'. w = 1.571428571 Simplifying w = 1.571428571
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