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Simplifying -3w + 4 + w = 4w + 27 Reorder the terms: 4 + -3w + w = 4w + 27 Combine like terms: -3w + w = -2w 4 + -2w = 4w + 27 Reorder the terms: 4 + -2w = 27 + 4w Solving 4 + -2w = 27 + 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. 4 + -2w + -4w = 27 + 4w + -4w Combine like terms: -2w + -4w = -6w 4 + -6w = 27 + 4w + -4w Combine like terms: 4w + -4w = 0 4 + -6w = 27 + 0 4 + -6w = 27 Add '-4' to each side of the equation. 4 + -4 + -6w = 27 + -4 Combine like terms: 4 + -4 = 0 0 + -6w = 27 + -4 -6w = 27 + -4 Combine like terms: 27 + -4 = 23 -6w = 23 Divide each side by '-6'. w = -3.833333333 Simplifying w = -3.833333333
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