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Simplifying 17w + -14 = 12w + 56 Reorder the terms: -14 + 17w = 12w + 56 Reorder the terms: -14 + 17w = 56 + 12w Solving -14 + 17w = 56 + 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. -14 + 17w + -12w = 56 + 12w + -12w Combine like terms: 17w + -12w = 5w -14 + 5w = 56 + 12w + -12w Combine like terms: 12w + -12w = 0 -14 + 5w = 56 + 0 -14 + 5w = 56 Add '14' to each side of the equation. -14 + 14 + 5w = 56 + 14 Combine like terms: -14 + 14 = 0 0 + 5w = 56 + 14 5w = 56 + 14 Combine like terms: 56 + 14 = 70 5w = 70 Divide each side by '5'. w = 14 Simplifying w = 14
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