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Simplifying 27 = 35 + -7(-1 + -3w) 27 = 35 + (-1 * -7 + -3w * -7) 27 = 35 + (7 + 21w) Combine like terms: 35 + 7 = 42 27 = 42 + 21w Solving 27 = 42 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. 27 + -21w = 42 + 21w + -21w Combine like terms: 21w + -21w = 0 27 + -21w = 42 + 0 27 + -21w = 42 Add '-27' to each side of the equation. 27 + -27 + -21w = 42 + -27 Combine like terms: 27 + -27 = 0 0 + -21w = 42 + -27 -21w = 42 + -27 Combine like terms: 42 + -27 = 15 -21w = 15 Divide each side by '-21'. w = -0.7142857143 Simplifying w = -0.7142857143
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