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Simplifying -7 = 7(w + -3) + 7w Reorder the terms: -7 = 7(-3 + w) + 7w -7 = (-3 * 7 + w * 7) + 7w -7 = (-21 + 7w) + 7w Combine like terms: 7w + 7w = 14w -7 = -21 + 14w Solving -7 = -21 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -7 + -14w = -21 + 14w + -14w Combine like terms: 14w + -14w = 0 -7 + -14w = -21 + 0 -7 + -14w = -21 Add '7' to each side of the equation. -7 + 7 + -14w = -21 + 7 Combine like terms: -7 + 7 = 0 0 + -14w = -21 + 7 -14w = -21 + 7 Combine like terms: -21 + 7 = -14 -14w = -14 Divide each side by '-14'. w = 1 Simplifying w = 1
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