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Simplifying -38 = -7w + 2(w + -4) Reorder the terms: -38 = -7w + 2(-4 + w) -38 = -7w + (-4 * 2 + w * 2) -38 = -7w + (-8 + 2w) Reorder the terms: -38 = -8 + -7w + 2w Combine like terms: -7w + 2w = -5w -38 = -8 + -5w Solving -38 = -8 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -38 + 5w = -8 + -5w + 5w Combine like terms: -5w + 5w = 0 -38 + 5w = -8 + 0 -38 + 5w = -8 Add '38' to each side of the equation. -38 + 38 + 5w = -8 + 38 Combine like terms: -38 + 38 = 0 0 + 5w = -8 + 38 5w = -8 + 38 Combine like terms: -8 + 38 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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