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Simplifying 16 + -7w = w + 14 + -6w Reorder the terms: 16 + -7w = 14 + w + -6w Combine like terms: w + -6w = -5w 16 + -7w = 14 + -5w Solving 16 + -7w = 14 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 16 + -7w + 5w = 14 + -5w + 5w Combine like terms: -7w + 5w = -2w 16 + -2w = 14 + -5w + 5w Combine like terms: -5w + 5w = 0 16 + -2w = 14 + 0 16 + -2w = 14 Add '-16' to each side of the equation. 16 + -16 + -2w = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -2w = 14 + -16 -2w = 14 + -16 Combine like terms: 14 + -16 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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