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Simplifying 4x2 + 12w + 9 = 49 Reorder the terms: 9 + 12w + 4x2 = 49 Solving 9 + 12w + 4x2 = 49 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 12w + -9 + 4x2 = 49 + -9 Reorder the terms: 9 + -9 + 12w + 4x2 = 49 + -9 Combine like terms: 9 + -9 = 0 0 + 12w + 4x2 = 49 + -9 12w + 4x2 = 49 + -9 Combine like terms: 49 + -9 = 40 12w + 4x2 = 40 Add '-4x2' to each side of the equation. 12w + 4x2 + -4x2 = 40 + -4x2 Combine like terms: 4x2 + -4x2 = 0 12w + 0 = 40 + -4x2 12w = 40 + -4x2 Divide each side by '12'. w = 3.333333333 + -0.3333333333x2 Simplifying w = 3.333333333 + -0.3333333333x2
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