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Simplifying 51 = 4w + 15 Reorder the terms: 51 = 15 + 4w Solving 51 = 15 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 51 + -4w = 15 + 4w + -4w Combine like terms: 4w + -4w = 0 51 + -4w = 15 + 0 51 + -4w = 15 Add '-51' to each side of the equation. 51 + -51 + -4w = 15 + -51 Combine like terms: 51 + -51 = 0 0 + -4w = 15 + -51 -4w = 15 + -51 Combine like terms: 15 + -51 = -36 -4w = -36 Divide each side by '-4'. w = 9 Simplifying w = 9
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