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Simplifying 270 = 90 + (20 + 7) * w Combine like terms: 20 + 7 = 27 270 = 90 + (27) * w Solving 270 = 90 + 27w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-27w' to each side of the equation. 270 + -27w = 90 + 27w + -27w Combine like terms: 27w + -27w = 0 270 + -27w = 90 + 0 270 + -27w = 90 Add '-270' to each side of the equation. 270 + -270 + -27w = 90 + -270 Combine like terms: 270 + -270 = 0 0 + -27w = 90 + -270 -27w = 90 + -270 Combine like terms: 90 + -270 = -180 -27w = -180 Divide each side by '-27'. w = 6.666666667 Simplifying w = 6.666666667
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