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Simplifying 7(w + -4) = 5w + -38 Reorder the terms: 7(-4 + w) = 5w + -38 (-4 * 7 + w * 7) = 5w + -38 (-28 + 7w) = 5w + -38 Reorder the terms: -28 + 7w = -38 + 5w Solving -28 + 7w = -38 + 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. -28 + 7w + -5w = -38 + 5w + -5w Combine like terms: 7w + -5w = 2w -28 + 2w = -38 + 5w + -5w Combine like terms: 5w + -5w = 0 -28 + 2w = -38 + 0 -28 + 2w = -38 Add '28' to each side of the equation. -28 + 28 + 2w = -38 + 28 Combine like terms: -28 + 28 = 0 0 + 2w = -38 + 28 2w = -38 + 28 Combine like terms: -38 + 28 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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