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Simplifying 4(-2 + 8x + -3y) = 0 (-2 * 4 + 8x * 4 + -3y * 4) = 0 (-8 + 32x + -12y) = 0 Solving -8 + 32x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 32x + 8 + -12y = 0 + 8 Reorder the terms: -8 + 8 + 32x + -12y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 32x + -12y = 0 + 8 32x + -12y = 0 + 8 Combine like terms: 0 + 8 = 8 32x + -12y = 8 Add '12y' to each side of the equation. 32x + -12y + 12y = 8 + 12y Combine like terms: -12y + 12y = 0 32x + 0 = 8 + 12y 32x = 8 + 12y Divide each side by '32'. x = 0.25 + 0.375y Simplifying x = 0.25 + 0.375y
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