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Simplifying 5 + -3(4w + 9) = 12 Reorder the terms: 5 + -3(9 + 4w) = 12 5 + (9 * -3 + 4w * -3) = 12 5 + (-27 + -12w) = 12 Combine like terms: 5 + -27 = -22 -22 + -12w = 12 Solving -22 + -12w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -12w = 12 + 22 Combine like terms: -22 + 22 = 0 0 + -12w = 12 + 22 -12w = 12 + 22 Combine like terms: 12 + 22 = 34 -12w = 34 Divide each side by '-12'. w = -2.833333333 Simplifying w = -2.833333333
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