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Simplifying 38 = -4w + -2w + -16 Reorder the terms: 38 = -16 + -4w + -2w Combine like terms: -4w + -2w = -6w 38 = -16 + -6w Solving 38 = -16 + -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 = -16 + -6w + 6w Combine like terms: -6w + 6w = 0 38 + 6w = -16 + 0 38 + 6w = -16 Add '-38' to each side of the equation. 38 + -38 + 6w = -16 + -38 Combine like terms: 38 + -38 = 0 0 + 6w = -16 + -38 6w = -16 + -38 Combine like terms: -16 + -38 = -54 6w = -54 Divide each side by '6'. w = -9 Simplifying w = -9
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