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Simplifying 12w + -8 = 13 + -2w Reorder the terms: -8 + 12w = 13 + -2w Solving -8 + 12w = 13 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -8 + 12w + 2w = 13 + -2w + 2w Combine like terms: 12w + 2w = 14w -8 + 14w = 13 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + 14w = 13 + 0 -8 + 14w = 13 Add '8' to each side of the equation. -8 + 8 + 14w = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 14w = 13 + 8 14w = 13 + 8 Combine like terms: 13 + 8 = 21 14w = 21 Divide each side by '14'. w = 1.5 Simplifying w = 1.5
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