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Simplifying 35 = 22 + -6(-3 + -4w) 35 = 22 + (-3 * -6 + -4w * -6) 35 = 22 + (18 + 24w) Combine like terms: 22 + 18 = 40 35 = 40 + 24w Solving 35 = 40 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. 35 + -24w = 40 + 24w + -24w Combine like terms: 24w + -24w = 0 35 + -24w = 40 + 0 35 + -24w = 40 Add '-35' to each side of the equation. 35 + -35 + -24w = 40 + -35 Combine like terms: 35 + -35 = 0 0 + -24w = 40 + -35 -24w = 40 + -35 Combine like terms: 40 + -35 = 5 -24w = 5 Divide each side by '-24'. w = -0.2083333333 Simplifying w = -0.2083333333
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