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Simplifying 2(w + -7) = 7w + 21 Reorder the terms: 2(-7 + w) = 7w + 21 (-7 * 2 + w * 2) = 7w + 21 (-14 + 2w) = 7w + 21 Reorder the terms: -14 + 2w = 21 + 7w Solving -14 + 2w = 21 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -14 + 2w + -7w = 21 + 7w + -7w Combine like terms: 2w + -7w = -5w -14 + -5w = 21 + 7w + -7w Combine like terms: 7w + -7w = 0 -14 + -5w = 21 + 0 -14 + -5w = 21 Add '14' to each side of the equation. -14 + 14 + -5w = 21 + 14 Combine like terms: -14 + 14 = 0 0 + -5w = 21 + 14 -5w = 21 + 14 Combine like terms: 21 + 14 = 35 -5w = 35 Divide each side by '-5'. w = -7 Simplifying w = -7
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