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Simplifying 38 = 2(2w + -2) + 2w Reorder the terms: 38 = 2(-2 + 2w) + 2w 38 = (-2 * 2 + 2w * 2) + 2w 38 = (-4 + 4w) + 2w Combine like terms: 4w + 2w = 6w 38 = -4 + 6w Solving 38 = -4 + 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 = -4 + 6w + -6w Combine like terms: 6w + -6w = 0 38 + -6w = -4 + 0 38 + -6w = -4 Add '-38' to each side of the equation. 38 + -38 + -6w = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -6w = -4 + -38 -6w = -4 + -38 Combine like terms: -4 + -38 = -42 -6w = -42 Divide each side by '-6'. w = 7 Simplifying w = 7
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