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Simplifying 5w + 3 = -3(w + -9) Reorder the terms: 3 + 5w = -3(w + -9) Reorder the terms: 3 + 5w = -3(-9 + w) 3 + 5w = (-9 * -3 + w * -3) 3 + 5w = (27 + -3w) Solving 3 + 5w = 27 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 3 + 5w + 3w = 27 + -3w + 3w Combine like terms: 5w + 3w = 8w 3 + 8w = 27 + -3w + 3w Combine like terms: -3w + 3w = 0 3 + 8w = 27 + 0 3 + 8w = 27 Add '-3' to each side of the equation. 3 + -3 + 8w = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 8w = 27 + -3 8w = 27 + -3 Combine like terms: 27 + -3 = 24 8w = 24 Divide each side by '8'. w = 3 Simplifying w = 3
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