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Simplifying 49 = 35 + -3(4 + -4w) 49 = 35 + (4 * -3 + -4w * -3) 49 = 35 + (-12 + 12w) Combine like terms: 35 + -12 = 23 49 = 23 + 12w Solving 49 = 23 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 49 + -12w = 23 + 12w + -12w Combine like terms: 12w + -12w = 0 49 + -12w = 23 + 0 49 + -12w = 23 Add '-49' to each side of the equation. 49 + -49 + -12w = 23 + -49 Combine like terms: 49 + -49 = 0 0 + -12w = 23 + -49 -12w = 23 + -49 Combine like terms: 23 + -49 = -26 -12w = -26 Divide each side by '-12'. w = 2.166666667 Simplifying w = 2.166666667
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