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Simplifying 21 = 7(w + -2) Reorder the terms: 21 = 7(-2 + w) 21 = (-2 * 7 + w * 7) 21 = (-14 + 7w) Solving 21 = -14 + 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. 21 + -7w = -14 + 7w + -7w Combine like terms: 7w + -7w = 0 21 + -7w = -14 + 0 21 + -7w = -14 Add '-21' to each side of the equation. 21 + -21 + -7w = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -7w = -14 + -21 -7w = -14 + -21 Combine like terms: -14 + -21 = -35 -7w = -35 Divide each side by '-7'. w = 5 Simplifying w = 5
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