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Simplifying 30w + -50 = 12w + -14 Reorder the terms: -50 + 30w = 12w + -14 Reorder the terms: -50 + 30w = -14 + 12w Solving -50 + 30w = -14 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -50 + 30w + -12w = -14 + 12w + -12w Combine like terms: 30w + -12w = 18w -50 + 18w = -14 + 12w + -12w Combine like terms: 12w + -12w = 0 -50 + 18w = -14 + 0 -50 + 18w = -14 Add '50' to each side of the equation. -50 + 50 + 18w = -14 + 50 Combine like terms: -50 + 50 = 0 0 + 18w = -14 + 50 18w = -14 + 50 Combine like terms: -14 + 50 = 36 18w = 36 Divide each side by '18'. w = 2 Simplifying w = 2
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