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Simplifying 4(3y2 + 22w + 7) = 1 Reorder the terms: 4(7 + 22w + 3y2) = 1 (7 * 4 + 22w * 4 + 3y2 * 4) = 1 (28 + 88w + 12y2) = 1 Solving 28 + 88w + 12y2 = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 88w + -28 + 12y2 = 1 + -28 Reorder the terms: 28 + -28 + 88w + 12y2 = 1 + -28 Combine like terms: 28 + -28 = 0 0 + 88w + 12y2 = 1 + -28 88w + 12y2 = 1 + -28 Combine like terms: 1 + -28 = -27 88w + 12y2 = -27 Add '-12y2' to each side of the equation. 88w + 12y2 + -12y2 = -27 + -12y2 Combine like terms: 12y2 + -12y2 = 0 88w + 0 = -27 + -12y2 88w = -27 + -12y2 Divide each side by '88'. w = -0.3068181818 + -0.1363636364y2 Simplifying w = -0.3068181818 + -0.1363636364y2
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