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Simplifying -5w + 6 = 7 + 2w Reorder the terms: 6 + -5w = 7 + 2w Solving 6 + -5w = 7 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 6 + -5w + -2w = 7 + 2w + -2w Combine like terms: -5w + -2w = -7w 6 + -7w = 7 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + -7w = 7 + 0 6 + -7w = 7 Add '-6' to each side of the equation. 6 + -6 + -7w = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -7w = 7 + -6 -7w = 7 + -6 Combine like terms: 7 + -6 = 1 -7w = 1 Divide each side by '-7'. w = -0.1428571429 Simplifying w = -0.1428571429
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