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Simplifying 24 = 27 + -7(5 + -3w) 24 = 27 + (5 * -7 + -3w * -7) 24 = 27 + (-35 + 21w) Combine like terms: 27 + -35 = -8 24 = -8 + 21w Solving 24 = -8 + 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. 24 + -21w = -8 + 21w + -21w Combine like terms: 21w + -21w = 0 24 + -21w = -8 + 0 24 + -21w = -8 Add '-24' to each side of the equation. 24 + -24 + -21w = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -21w = -8 + -24 -21w = -8 + -24 Combine like terms: -8 + -24 = -32 -21w = -32 Divide each side by '-21'. w = 1.523809524 Simplifying w = 1.523809524
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