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Simplifying 45 = 30 + -7(2 + -3w) 45 = 30 + (2 * -7 + -3w * -7) 45 = 30 + (-14 + 21w) Combine like terms: 30 + -14 = 16 45 = 16 + 21w Solving 45 = 16 + 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. 45 + -21w = 16 + 21w + -21w Combine like terms: 21w + -21w = 0 45 + -21w = 16 + 0 45 + -21w = 16 Add '-45' to each side of the equation. 45 + -45 + -21w = 16 + -45 Combine like terms: 45 + -45 = 0 0 + -21w = 16 + -45 -21w = 16 + -45 Combine like terms: 16 + -45 = -29 -21w = -29 Divide each side by '-21'. w = 1.380952381 Simplifying w = 1.380952381
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