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Simplifying 4(w + 2x) + 9(-4w) = 0 (w * 4 + 2x * 4) + 9(-4w) = 0 (4w + 8x) + 9(-4w) = 0 Remove parenthesis around (-4w) 4w + 8x + 9 * -4w = 0 Multiply 9 * -4 4w + 8x + -36w = 0 Reorder the terms: 4w + -36w + 8x = 0 Combine like terms: 4w + -36w = -32w -32w + 8x = 0 Solving -32w + 8x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. -32w + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 -32w + 0 = 0 + -8x -32w = 0 + -8x Remove the zero: -32w = -8x Divide each side by '-32'. w = 0.25x Simplifying w = 0.25x
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