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Simplifying 16 = 22 + -7(-5 + -5w) 16 = 22 + (-5 * -7 + -5w * -7) 16 = 22 + (35 + 35w) Combine like terms: 22 + 35 = 57 16 = 57 + 35w Solving 16 = 57 + 35w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35w' to each side of the equation. 16 + -35w = 57 + 35w + -35w Combine like terms: 35w + -35w = 0 16 + -35w = 57 + 0 16 + -35w = 57 Add '-16' to each side of the equation. 16 + -16 + -35w = 57 + -16 Combine like terms: 16 + -16 = 0 0 + -35w = 57 + -16 -35w = 57 + -16 Combine like terms: 57 + -16 = 41 -35w = 41 Divide each side by '-35'. w = -1.171428571 Simplifying w = -1.171428571
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