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Simplifying (w + 8)(3w + 8) + -1w(3w) = 832 Reorder the terms: (8 + w)(3w + 8) + -1w(3w) = 832 Reorder the terms: (8 + w)(8 + 3w) + -1w(3w) = 832 Multiply (8 + w) * (8 + 3w) (8(8 + 3w) + w(8 + 3w)) + -1w(3w) = 832 ((8 * 8 + 3w * 8) + w(8 + 3w)) + -1w(3w) = 832 ((64 + 24w) + w(8 + 3w)) + -1w(3w) = 832 (64 + 24w + (8 * w + 3w * w)) + -1w(3w) = 832 (64 + 24w + (8w + 3w2)) + -1w(3w) = 832 Combine like terms: 24w + 8w = 32w (64 + 32w + 3w2) + -1w(3w) = 832 Remove parenthesis around (3w) 64 + 32w + 3w2 + -1w * 3w = 832 Reorder the terms for easier multiplication: 64 + 32w + 3w2 + -1 * 3w * w = 832 Multiply -1 * 3 64 + 32w + 3w2 + -3w * w = 832 Multiply w * w 64 + 32w + 3w2 + -3w2 = 832 Combine like terms: 3w2 + -3w2 = 0 64 + 32w + 0 = 832 64 + 32w = 832 Solving 64 + 32w = 832 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 32w = 832 + -64 Combine like terms: 64 + -64 = 0 0 + 32w = 832 + -64 32w = 832 + -64 Combine like terms: 832 + -64 = 768 32w = 768 Divide each side by '32'. w = 24 Simplifying w = 24
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