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Simplifying -4x + -2w + 8 = 4w + 38 Reorder the terms: 8 + -2w + -4x = 4w + 38 Reorder the terms: 8 + -2w + -4x = 38 + 4w Solving 8 + -2w + -4x = 38 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 8 + -2w + -4w + -4x = 38 + 4w + -4w Combine like terms: -2w + -4w = -6w 8 + -6w + -4x = 38 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + -6w + -4x = 38 + 0 8 + -6w + -4x = 38 Add '-8' to each side of the equation. 8 + -6w + -8 + -4x = 38 + -8 Reorder the terms: 8 + -8 + -6w + -4x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + -6w + -4x = 38 + -8 -6w + -4x = 38 + -8 Combine like terms: 38 + -8 = 30 -6w + -4x = 30 Add '4x' to each side of the equation. -6w + -4x + 4x = 30 + 4x Combine like terms: -4x + 4x = 0 -6w + 0 = 30 + 4x -6w = 30 + 4x Divide each side by '-6'. w = -5 + -0.6666666667x Simplifying w = -5 + -0.6666666667x
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