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