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Simplifying 44 = w + 51 Reorder the terms: 44 = 51 + w Solving 44 = 51 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 44 + -1w = 51 + w + -1w Combine like terms: w + -1w = 0 44 + -1w = 51 + 0 44 + -1w = 51 Add '-44' to each side of the equation. 44 + -44 + -1w = 51 + -44 Combine like terms: 44 + -44 = 0 0 + -1w = 51 + -44 -1w = 51 + -44 Combine like terms: 51 + -44 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7
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