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Simplifying -2(w + 7) = 5w + 28 Reorder the terms: -2(7 + w) = 5w + 28 (7 * -2 + w * -2) = 5w + 28 (-14 + -2w) = 5w + 28 Reorder the terms: -14 + -2w = 28 + 5w Solving -14 + -2w = 28 + 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. -14 + -2w + -5w = 28 + 5w + -5w Combine like terms: -2w + -5w = -7w -14 + -7w = 28 + 5w + -5w Combine like terms: 5w + -5w = 0 -14 + -7w = 28 + 0 -14 + -7w = 28 Add '14' to each side of the equation. -14 + 14 + -7w = 28 + 14 Combine like terms: -14 + 14 = 0 0 + -7w = 28 + 14 -7w = 28 + 14 Combine like terms: 28 + 14 = 42 -7w = 42 Divide each side by '-7'. w = -6 Simplifying w = -6
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