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Simplifying 7w + -16 = -8w + 14 Reorder the terms: -16 + 7w = -8w + 14 Reorder the terms: -16 + 7w = 14 + -8w Solving -16 + 7w = 14 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -16 + 7w + 8w = 14 + -8w + 8w Combine like terms: 7w + 8w = 15w -16 + 15w = 14 + -8w + 8w Combine like terms: -8w + 8w = 0 -16 + 15w = 14 + 0 -16 + 15w = 14 Add '16' to each side of the equation. -16 + 16 + 15w = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 15w = 14 + 16 15w = 14 + 16 Combine like terms: 14 + 16 = 30 15w = 30 Divide each side by '15'. w = 2 Simplifying w = 2
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