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Simplifying 270 = 50 + (25 + 7) * w Combine like terms: 25 + 7 = 32 270 = 50 + (32) * w Solving 270 = 50 + 32w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32w' to each side of the equation. 270 + -32w = 50 + 32w + -32w Combine like terms: 32w + -32w = 0 270 + -32w = 50 + 0 270 + -32w = 50 Add '-270' to each side of the equation. 270 + -270 + -32w = 50 + -270 Combine like terms: 270 + -270 = 0 0 + -32w = 50 + -270 -32w = 50 + -270 Combine like terms: 50 + -270 = -220 -32w = -220 Divide each side by '-32'. w = 6.875 Simplifying w = 6.875
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