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Simplifying 51 + -3w = 2w + 11 Reorder the terms: 51 + -3w = 11 + 2w Solving 51 + -3w = 11 + 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. 51 + -3w + -2w = 11 + 2w + -2w Combine like terms: -3w + -2w = -5w 51 + -5w = 11 + 2w + -2w Combine like terms: 2w + -2w = 0 51 + -5w = 11 + 0 51 + -5w = 11 Add '-51' to each side of the equation. 51 + -51 + -5w = 11 + -51 Combine like terms: 51 + -51 = 0 0 + -5w = 11 + -51 -5w = 11 + -51 Combine like terms: 11 + -51 = -40 -5w = -40 Divide each side by '-5'. w = 8 Simplifying w = 8
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