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Simplifying 5w + 16 = 7w + 6 Reorder the terms: 16 + 5w = 7w + 6 Reorder the terms: 16 + 5w = 6 + 7w Solving 16 + 5w = 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. 16 + 5w + -7w = 6 + 7w + -7w Combine like terms: 5w + -7w = -2w 16 + -2w = 6 + 7w + -7w Combine like terms: 7w + -7w = 0 16 + -2w = 6 + 0 16 + -2w = 6 Add '-16' to each side of the equation. 16 + -16 + -2w = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -2w = 6 + -16 -2w = 6 + -16 Combine like terms: 6 + -16 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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