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Simplifying 3w + 8(2w + -6) = 2 + 14w Reorder the terms: 3w + 8(-6 + 2w) = 2 + 14w 3w + (-6 * 8 + 2w * 8) = 2 + 14w 3w + (-48 + 16w) = 2 + 14w Reorder the terms: -48 + 3w + 16w = 2 + 14w Combine like terms: 3w + 16w = 19w -48 + 19w = 2 + 14w Solving -48 + 19w = 2 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -48 + 19w + -14w = 2 + 14w + -14w Combine like terms: 19w + -14w = 5w -48 + 5w = 2 + 14w + -14w Combine like terms: 14w + -14w = 0 -48 + 5w = 2 + 0 -48 + 5w = 2 Add '48' to each side of the equation. -48 + 48 + 5w = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 5w = 2 + 48 5w = 2 + 48 Combine like terms: 2 + 48 = 50 5w = 50 Divide each side by '5'. w = 10 Simplifying w = 10
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