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Simplifying 8w + 6 + -4w = 12 + -3w + 2 Reorder the terms: 6 + 8w + -4w = 12 + -3w + 2 Combine like terms: 8w + -4w = 4w 6 + 4w = 12 + -3w + 2 Reorder the terms: 6 + 4w = 12 + 2 + -3w Combine like terms: 12 + 2 = 14 6 + 4w = 14 + -3w Solving 6 + 4w = 14 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 6 + 4w + 3w = 14 + -3w + 3w Combine like terms: 4w + 3w = 7w 6 + 7w = 14 + -3w + 3w Combine like terms: -3w + 3w = 0 6 + 7w = 14 + 0 6 + 7w = 14 Add '-6' to each side of the equation. 6 + -6 + 7w = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 7w = 14 + -6 7w = 14 + -6 Combine like terms: 14 + -6 = 8 7w = 8 Divide each side by '7'. w = 1.142857143 Simplifying w = 1.142857143
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