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