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Simplifying 4x2 + 4w + 1 = 81 Reorder the terms: 1 + 4w + 4x2 = 81 Solving 1 + 4w + 4x2 = 81 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4w + -1 + 4x2 = 81 + -1 Reorder the terms: 1 + -1 + 4w + 4x2 = 81 + -1 Combine like terms: 1 + -1 = 0 0 + 4w + 4x2 = 81 + -1 4w + 4x2 = 81 + -1 Combine like terms: 81 + -1 = 80 4w + 4x2 = 80 Add '-4x2' to each side of the equation. 4w + 4x2 + -4x2 = 80 + -4x2 Combine like terms: 4x2 + -4x2 = 0 4w + 0 = 80 + -4x2 4w = 80 + -4x2 Divide each side by '4'. w = 20 + -1x2 Simplifying w = 20 + -1x2
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