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Simplifying 30 = 17 + -6(-5 + -2w) 30 = 17 + (-5 * -6 + -2w * -6) 30 = 17 + (30 + 12w) Combine like terms: 17 + 30 = 47 30 = 47 + 12w Solving 30 = 47 + 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. 30 + -12w = 47 + 12w + -12w Combine like terms: 12w + -12w = 0 30 + -12w = 47 + 0 30 + -12w = 47 Add '-30' to each side of the equation. 30 + -30 + -12w = 47 + -30 Combine like terms: 30 + -30 = 0 0 + -12w = 47 + -30 -12w = 47 + -30 Combine like terms: 47 + -30 = 17 -12w = 17 Divide each side by '-12'. w = -1.416666667 Simplifying w = -1.416666667
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