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Simplifying (4w + 8) * x + -5 + 4 = 0 Reorder the terms: (8 + 4w) * x + -5 + 4 = 0 Reorder the terms for easier multiplication: x(8 + 4w) + -5 + 4 = 0 (8 * x + 4w * x) + -5 + 4 = 0 Reorder the terms: (4wx + 8x) + -5 + 4 = 0 (4wx + 8x) + -5 + 4 = 0 Reorder the terms: -5 + 4 + 4wx + 8x = 0 Combine like terms: -5 + 4 = -1 -1 + 4wx + 8x = 0 Solving -1 + 4wx + 8x = 0 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 + 4wx + 1 + 8x = 0 + 1 Reorder the terms: -1 + 1 + 4wx + 8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4wx + 8x = 0 + 1 4wx + 8x = 0 + 1 Combine like terms: 0 + 1 = 1 4wx + 8x = 1 Add '-8x' to each side of the equation. 4wx + 8x + -8x = 1 + -8x Combine like terms: 8x + -8x = 0 4wx + 0 = 1 + -8x 4wx = 1 + -8x Divide each side by '4x'. w = 0.25x-1 + -2 Simplifying w = 0.25x-1 + -2 Reorder the terms: w = -2 + 0.25x-1
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