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Simplifying 3w + 45 = -9(w + 3) Reorder the terms: 45 + 3w = -9(w + 3) Reorder the terms: 45 + 3w = -9(3 + w) 45 + 3w = (3 * -9 + w * -9) 45 + 3w = (-27 + -9w) Solving 45 + 3w = -27 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 45 + 3w + 9w = -27 + -9w + 9w Combine like terms: 3w + 9w = 12w 45 + 12w = -27 + -9w + 9w Combine like terms: -9w + 9w = 0 45 + 12w = -27 + 0 45 + 12w = -27 Add '-45' to each side of the equation. 45 + -45 + 12w = -27 + -45 Combine like terms: 45 + -45 = 0 0 + 12w = -27 + -45 12w = -27 + -45 Combine like terms: -27 + -45 = -72 12w = -72 Divide each side by '12'. w = -6 Simplifying w = -6
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