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Simplifying 8w + 4 = 7w + -7 + 14 Reorder the terms: 4 + 8w = 7w + -7 + 14 Reorder the terms: 4 + 8w = -7 + 14 + 7w Combine like terms: -7 + 14 = 7 4 + 8w = 7 + 7w Solving 4 + 8w = 7 + 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. 4 + 8w + -7w = 7 + 7w + -7w Combine like terms: 8w + -7w = 1w 4 + 1w = 7 + 7w + -7w Combine like terms: 7w + -7w = 0 4 + 1w = 7 + 0 4 + 1w = 7 Add '-4' to each side of the equation. 4 + -4 + 1w = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1w = 7 + -4 1w = 7 + -4 Combine like terms: 7 + -4 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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