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Simplifying -3(w + -7) = 5w + 3 Reorder the terms: -3(-7 + w) = 5w + 3 (-7 * -3 + w * -3) = 5w + 3 (21 + -3w) = 5w + 3 Reorder the terms: 21 + -3w = 3 + 5w Solving 21 + -3w = 3 + 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. 21 + -3w + -5w = 3 + 5w + -5w Combine like terms: -3w + -5w = -8w 21 + -8w = 3 + 5w + -5w Combine like terms: 5w + -5w = 0 21 + -8w = 3 + 0 21 + -8w = 3 Add '-21' to each side of the equation. 21 + -21 + -8w = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -8w = 3 + -21 -8w = 3 + -21 Combine like terms: 3 + -21 = -18 -8w = -18 Divide each side by '-8'. w = 2.25 Simplifying w = 2.25
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