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