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Simplifying 38 = -8w + 2(w + -5) Reorder the terms: 38 = -8w + 2(-5 + w) 38 = -8w + (-5 * 2 + w * 2) 38 = -8w + (-10 + 2w) Reorder the terms: 38 = -10 + -8w + 2w Combine like terms: -8w + 2w = -6w 38 = -10 + -6w Solving 38 = -10 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 38 + 6w = -10 + -6w + 6w Combine like terms: -6w + 6w = 0 38 + 6w = -10 + 0 38 + 6w = -10 Add '-38' to each side of the equation. 38 + -38 + 6w = -10 + -38 Combine like terms: 38 + -38 = 0 0 + 6w = -10 + -38 6w = -10 + -38 Combine like terms: -10 + -38 = -48 6w = -48 Divide each side by '6'. w = -8 Simplifying w = -8
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