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Simplifying 8(4w + x + -6y) = 0 (4w * 8 + x * 8 + -6y * 8) = 0 (32w + 8x + -48y) = 0 Solving 32w + 8x + -48y = 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 + -48y = 0 + -8x Combine like terms: 8x + -8x = 0 32w + 0 + -48y = 0 + -8x 32w + -48y = 0 + -8x Remove the zero: 32w + -48y = -8x Add '48y' to each side of the equation. 32w + -48y + 48y = -8x + 48y Combine like terms: -48y + 48y = 0 32w + 0 = -8x + 48y 32w = -8x + 48y Divide each side by '32'. w = -0.25x + 1.5y Simplifying w = -0.25x + 1.5y
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