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Simplifying 4w + 38 = 2(1 + -1w) Reorder the terms: 38 + 4w = 2(1 + -1w) 38 + 4w = (1 * 2 + -1w * 2) 38 + 4w = (2 + -2w) Solving 38 + 4w = 2 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 38 + 4w + 2w = 2 + -2w + 2w Combine like terms: 4w + 2w = 6w 38 + 6w = 2 + -2w + 2w Combine like terms: -2w + 2w = 0 38 + 6w = 2 + 0 38 + 6w = 2 Add '-38' to each side of the equation. 38 + -38 + 6w = 2 + -38 Combine like terms: 38 + -38 = 0 0 + 6w = 2 + -38 6w = 2 + -38 Combine like terms: 2 + -38 = -36 6w = -36 Divide each side by '6'. w = -6 Simplifying w = -6
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