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Simplifying -4(3(x + -1y + -1z) + -3(2x + y + -5z)) = p -4((x * 3 + -1y * 3 + -1z * 3) + -3(2x + y + -5z)) = p -4((3x + -3y + -3z) + -3(2x + y + -5z)) = p -4(3x + -3y + -3z + (2x * -3 + y * -3 + -5z * -3)) = p -4(3x + -3y + -3z + (-6x + -3y + 15z)) = p Reorder the terms: -4(3x + -6x + -3y + -3y + -3z + 15z) = p Combine like terms: 3x + -6x = -3x -4(-3x + -3y + -3y + -3z + 15z) = p Combine like terms: -3y + -3y = -6y -4(-3x + -6y + -3z + 15z) = p Combine like terms: -3z + 15z = 12z -4(-3x + -6y + 12z) = p (-3x * -4 + -6y * -4 + 12z * -4) = p (12x + 24y + -48z) = p Solving 12x + 24y + -48z = p Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. 12x + 24y + -24y + -48z = p + -24y Combine like terms: 24y + -24y = 0 12x + 0 + -48z = p + -24y 12x + -48z = p + -24y Add '48z' to each side of the equation. 12x + -48z + 48z = p + -24y + 48z Combine like terms: -48z + 48z = 0 12x + 0 = p + -24y + 48z 12x = p + -24y + 48z Divide each side by '12'. x = 0.08333333333p + -2y + 4z Simplifying x = 0.08333333333p + -2y + 4z
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