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Simplifying 3w + 3 = -5(w + 1) Reorder the terms: 3 + 3w = -5(w + 1) Reorder the terms: 3 + 3w = -5(1 + w) 3 + 3w = (1 * -5 + w * -5) 3 + 3w = (-5 + -5w) Solving 3 + 3w = -5 + -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. 3 + 3w + 5w = -5 + -5w + 5w Combine like terms: 3w + 5w = 8w 3 + 8w = -5 + -5w + 5w Combine like terms: -5w + 5w = 0 3 + 8w = -5 + 0 3 + 8w = -5 Add '-3' to each side of the equation. 3 + -3 + 8w = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 8w = -5 + -3 8w = -5 + -3 Combine like terms: -5 + -3 = -8 8w = -8 Divide each side by '8'. w = -1 Simplifying w = -1
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