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Simplifying 7w + (9x + 8(x + 8(x + 4w))) = 0 Reorder the terms: 7w + (9x + 8(x + 8(4w + x))) = 0 7w + (9x + 8(x + (4w * 8 + x * 8))) = 0 7w + (9x + 8(x + (32w + 8x))) = 0 Reorder the terms: 7w + (9x + 8(32w + x + 8x)) = 0 Combine like terms: x + 8x = 9x 7w + (9x + 8(32w + 9x)) = 0 7w + (9x + (32w * 8 + 9x * 8)) = 0 7w + (9x + (256w + 72x)) = 0 Reorder the terms: 7w + (256w + 9x + 72x) = 0 Combine like terms: 9x + 72x = 81x 7w + (256w + 81x) = 0 Remove parenthesis around (256w + 81x) 7w + 256w + 81x = 0 Combine like terms: 7w + 256w = 263w 263w + 81x = 0 Solving 263w + 81x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-81x' to each side of the equation. 263w + 81x + -81x = 0 + -81x Combine like terms: 81x + -81x = 0 263w + 0 = 0 + -81x 263w = 0 + -81x Remove the zero: 263w = -81x Divide each side by '263'. w = -0.3079847909x Simplifying w = -0.3079847909x
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