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Simplifying -38 = 2(w + -7) + -8w Reorder the terms: -38 = 2(-7 + w) + -8w -38 = (-7 * 2 + w * 2) + -8w -38 = (-14 + 2w) + -8w Combine like terms: 2w + -8w = -6w -38 = -14 + -6w Solving -38 = -14 + -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 = -14 + -6w + 6w Combine like terms: -6w + 6w = 0 -38 + 6w = -14 + 0 -38 + 6w = -14 Add '38' to each side of the equation. -38 + 38 + 6w = -14 + 38 Combine like terms: -38 + 38 = 0 0 + 6w = -14 + 38 6w = -14 + 38 Combine like terms: -14 + 38 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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